{"id":12,"date":"2008-09-18T16:22:04","date_gmt":"2008-09-18T16:22:04","guid":{"rendered":"http:\/\/people.unica.it\/biharmonic\/?page_id=12"},"modified":"2020-05-05T13:24:16","modified_gmt":"2020-05-05T13:24:16","slug":"publication","status":"publish","type":"page","link":"https:\/\/people.unica.it\/biharmonic\/publication\/","title":{"rendered":"Publication"},"content":{"rendered":"<ol>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">EELLS, J. and SAMPSON, J.H. <strong>(1964)<\/strong>.<\/p>\n<p>Harmonic mappings of Riemannian manifolds.<\/p>\n<p><em>Amer. J. Math. 86, <\/em> 109&#8211;160.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=0164306\">MR 0164306<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0122.40102\">Zbl 0122.40102<\/a><\/td>\n<td align=\"center\" width=\"140\">Harmonic maps<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">EELLS, J. and SAMPSON, J.H. <strong>(1964)<\/strong>.<\/p>\n<p>Energie et deformations en geometrie differentielle.<\/p>\n<p><em>Ann. Inst. Fourier, 14, <\/em> 61&#8211;70.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=0172310\">MR<br \/>\n0172310<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?0123.38703\">Zbl 0123.38703<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrisic (p. 67)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">EELLS, J. and SAMPSON, J.H. <strong>(1965)<\/strong>.<\/p>\n<p>Variational theory in fibre bundles.<\/p>\n<p><em>US-Japan Seminar in Diff. Geom., <\/em> 22&#8211;33.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=0216519\">MR<br \/>\n0216519<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?0192.29801\">Zbl 0192.29801<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrisic (p. 29, theorem erroneous)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">EELLS, J. <strong>(1966)<\/strong>.<\/p>\n<p>A setting for global analysis.<br \/>\n<em>Bull. Amer. Math. Soc., 72, <\/em> 751&#8211;807.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=0203742\">MR<br \/>\n0203742<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?0000.00000\">Zbl 0000.00000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic (p. 792, statement p. 792-793 erroneous)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">ELIASSON, H.I. <strong>(1967)<\/strong>.<\/p>\n<p>Geometry of manifolds of maps.<\/p>\n<p><em>J. Diff. Geom., 1, <\/em> 169&#8211;194.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=0226681\">MR<br \/>\n0226681<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?0163.43901\">Zbl 0163.43901<\/a><\/td>\n<td align=\"center\" width=\"140\">Extrinsic (p.194)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">PALAIS, R.S. <strong>(1971)<\/strong>.<\/p>\n<p>Banach manifolds of fibre bundle sections.<\/p>\n<p><em>Actes du Congres International des Mathematiciens (Nice, 1970) Tome 2 <\/em> 243&#8211;249.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=0448405\">MR<br \/>\n0448405<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?0326.58008\">Zbl 0326.58008<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrisic\/extrinsic (closing statement unclear)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">LEMAIRE, L. <strong>(1981)<\/strong>.<\/p>\n<p>Minima and critical points of the energy in dimension two.<\/p>\n<p><em>Global Differential Geometry and Global Analysis (Berlin 1979) <\/em> 187&#8211;193.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=0636281\">MR<br \/>\n0636281<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?0437.58005\">Zbl 0437.58005<\/a><\/td>\n<td align=\"center\" width=\"140\">Shows that E_{2} + tE does not satisfy condition (C) (p. 190)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">EELLS, J. <strong>(1984)<\/strong>.<\/p>\n<p>Certain variational principles in Riemannian geometry.<\/p>\n<p><em>Proc. Int. Colloq. Diff. Geom. Santiago de Compostela, <\/em> 46&#8211;60.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=0864856\">MR<br \/>\n0864856<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?0653.53026\">Zbl 0653.53026<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrisic (p. 55)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">JIANG, G.Y. <strong>(1986)<\/strong>.<\/p>\n<p>2-harmonic isometric immersions between Riemannian manifolds.<\/p>\n<p><em>Chinese Ann. Math. Ser. A, 7, <\/em> 130&#8211;144.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=0858581\">MR 0858581<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0596.53046\">Zbl 0596.53046<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">JIANG, G.Y. <strong>(1986)<\/strong>.<\/p>\n<p>2-Harmonic maps and their first and second variational formulas.<\/p>\n<p><em>Chinese Ann. Math. Ser. A, 7, <\/em> 389&#8211;402.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=0886529\">MR 0886529<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0628.58008\">Zbl 0628.58008<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, First Variation<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">JIANG, G.Y. <strong>(1987)<\/strong>.<\/p>\n<p>The conservation law for 2-harmonic maps between Riemannian manifolds.<\/p>\n<p><em>Acta Math. Sinica 30, <\/em> 220&#8211;225.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=0891928\">MR 0891928<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0631.58007\">Zbl 0631.58007<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">JIANG, G.Y. <strong>(1987)<\/strong>.<\/p>\n<p>Some nonexistence theorems on 2-harmonic and isometric immersions in Euclidean space.<\/p>\n<p><em>Chinese Ann. Math. Ser. A 8, <\/em> 377&#8211;383.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=0924896\">MR 0924896<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0637.53071\">Zbl 0637.53071<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">DIMITRIC, I.M. <strong>(1988)<\/strong>.<\/p>\n<p>Quadric representation and submanifolds of finite type.<\/p>\n<p><em>Doctoral dissertation, <\/em> Michigan State University.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 000000<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">CHEN, B.-Y. <strong>(1991)<\/strong>.<br \/>\nSome open problems and conjectures on submanifolds<br \/>\nof finite type.<em>Soochow J. Math., 17, <\/em> 169&#8211;188.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1143504\">MR 1143504<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0749.53037\">Zbl 0749.53037<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifold, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">CHEN, B.-Y. and ISHIKAWA, S. <strong>(1991)<\/strong>.<\/p>\n<p>Biharmonic surfaces in pseudo-Euclidean spaces.<\/p>\n<p><em>Mem. Fac. Sci. Kyushu Univ. Ser. A, 45, <\/em> 323&#8211;347.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1133117\">MR 1133117<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0757.53009\">Zbl 0757.53009<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, semi-Riemannian, submanifold<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">ISHIKAWA, S. <strong>(1992)<\/strong>.<\/p>\n<p>On biharmonic submanifolds and finite type<br \/>\nsubmanifolds in a Euclidean space or a pseudo-Euclidean space.<\/p>\n<p><em>Doctoral Thesis,<\/em> Kyushu Univ., Fukuota.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 000000<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">ISHIKAWA, S. <strong>(1992)<\/strong>.<\/p>\n<p>Biharmonic W-surfaces in 4-dimensional pseudo-Euclidean space.<\/p>\n<p><em>Mem. Fac. Sci. Kyushu Univ. Ser. A, 46, <\/em> 269&#8211;286.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1195470\">MR 1195470<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0780.53042\">Zbl 0780.53042<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">DIMITRIC, I. <strong>(1992)<\/strong>.<\/p>\n<p>Submanifolds of E^m with harmonic mean<br \/>\ncurvature vector.<\/p>\n<p><em>Bull. Inst. Math. Acad. Sinica, 20, <\/em> 53&#8211;65.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1166218\">MR 1166218<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0778.53046\">Zbl 0778.53046<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">SUN, H.A. <strong>(1992)<\/strong>.<\/p>\n<p>A theorem on 2-harmonic mappings.<\/p>\n<p><em>J. Math. (Wuhan) 12, <\/em> 103&#8211;106.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1204581\">MR 1204581<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0766.53036\">Zbl 0766.53036<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">SUN, H.A. <strong>(1992)<\/strong>.<\/p>\n<p>Compositions of 2-harmonic maps.<\/p>\n<p><em>J. Math. Res. Exposition 12, <\/em> 535&#8211;538.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1193402\">MR 1193402<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0769.58017\">Zbl 0769.58017<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">FERRANDEZ, A. and LUCAS, P. <strong>(1992)<\/strong>.<\/p>\n<p>Null 2-type hypersurfaces in a Lorentz space.<\/p>\n<p><em>Canad. Math. Bull., 35, <\/em> 354&#8211;360.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1184012\">MR 1184012<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0765.53045\">Zbl 0765.53045<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, second variation<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">CHEN, J.H. <strong>(1993)<\/strong>.<\/p>\n<p>Compact 2-harmonic hypersurfaces in S^{n+1}(1).<\/p>\n<p><em>Acta Math. Sinica 36, <\/em> 341&#8211;347.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1247088\">MR 1247088<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">SUN, H.A. <strong>(1993)<\/strong>.<\/p>\n<p>2-harmonic isometric immersions with parallel mean curvature vector.<\/p>\n<p><em>J. Math. (Wuhan) 13, <\/em> 141&#8211;146.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1257740\">MR 1257740<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0792.53052\">Zbl 0792.53052<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">GARAY, O.J. <strong>(1994)<\/strong>.<\/p>\n<p>A classification of certain 3-dimensional conformally flat Euclidean hypersurfaces.<\/p>\n<p><em>Pacific J. Math. 162, <\/em> 13&#8211;25.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1247141\">MR 1247141<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0791.53026\">Zbl 0791.53026<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">ALIAS, L.J. <strong>(1994)<\/strong>.<\/p>\n<p>Characterization and Classification of Hypersurfaces in Pseudo-Riemannian Space Forms.<\/p>\n<p><em>Doctoral dissertation, <\/em> Universidad de Murcia.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 0000000<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 0000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds, semi-Riemannian<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">SUN, H.A. <strong>(1994)<\/strong>.<\/p>\n<p>2-harmonic isometric immersions in a sphere with parallel mean curvature vector.<\/p>\n<p><em>Pure Appl. Math. (Xi&#8217;an) 10, <\/em> 114&#8211;118.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1306920\">MR 1306920<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0841.53049\">Zbl 0841.53049<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">ALIAS, L.J.; FERRANDEZ, A. and LUCAS, P. <strong>(1995)<\/strong>.<\/p>\n<p>Hypersurfaces in the non-flat Lorentzian space forms with a characteristic eigenvector field.<\/p>\n<p><em>J. Geom. 52, <\/em> 10&#8211;24.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1317251\">MR 1317251<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0824.53063\">Zbl 0824.53063<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">SUN, H.A. <strong>(1995)<\/strong>.<br \/>\n2-harmonic totally real submanifolds in a complex projective space.<em>Chin. Q. J. Math. 10, <\/em> 37&#8211;41.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR <\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0969.53509\">Zbl 0969.53509<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">ZHONG, D.S. <strong>(1995)<\/strong>.<br \/>\n2-harmonic isometric immersions of 3-dimensional submanifolds<br \/>\nwith parallel mean curvature vector.<em>Natur. Sci. J. Harbin Normal Univ. 11, <\/em> 8&#8211;12.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1433300\">MR 1433300<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0981.53057\">Zbl 0981.53057<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">CHEN, B.-Y. and VERSTRAELEN, L. <strong>(1995)<\/strong>.<\/p>\n<p><em>Laplace transformations of submanifolds.<\/em><br \/>\nCentre for Pure and Applied Differential Geometry (PADGE), 1.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1347686\">MR 1347686<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0912.53036\">Zbl 0912.53036<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifold, semi-Riemannian<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">HASANIS, T. and VLACHOS, T. <strong>(1995)<\/strong>.<\/p>\n<p>Hypersurfaces in E^4 with<br \/>\nharmonic mean curvature vector field.<\/p>\n<p><em>Math. Nachr., 172, <\/em> 145&#8211;169.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1330627\">MR 1330627<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0839.53007\">Zbl 0839.53007<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifold<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">FERRANDEZ, A. and MERONO, M. A. <strong>(1996)<\/strong>.<\/p>\n<p>Biharmonic products in the normal bundle.<\/p>\n<p><em>Comment. Math. Univ. St. Paul., 45, <\/em>147&#8211;158.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1416188\">MR 1416188<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0877.53040\">Zbl 0877.53040<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifold, semi-Riemannian<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">CHEN, B.-Y. <strong>(1996)<\/strong>.<\/p>\n<p>A report on submanifolds of finite type.<\/p>\n<p><em>Soochow J. Math., 22, <\/em> 117&#8211;337.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1391469\">MR 1391469<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0867.53001\">Zbl 0867.53001<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifold, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">CHEN, B.-Y. and ISHIKAWA, S. <strong>(1998)<\/strong>.<\/p>\n<p>Biharmonic pseudo-Riemannian submanifolds in pseudo-Euclidean spaces.<\/p>\n<p><em>Kyushu J. Math., 52, <\/em> 167&#8211;185.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1609044\">MR 1609044<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0892.53012\">Zbl 0892.53012<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, semi-Riemannian, submanifold<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">CHIANG, Y.-J. and SUN, H.A. <strong>(1999)<\/strong>.<br \/>\n2-harmonic totally real submanifolds in a complex projective space.<em>Bull. Inst. Math. Acad. Sinica 27, <\/em> 99&#8211;107.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1697219\">MR 1697219<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0960.53036\">Zbl 0960.53036<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">SUN, H.A. and ZHONG, D.X. <strong>(1999)<\/strong>.<\/p>\n<p>Real 2-harmonic hypersurfaces in complex projective spaces.<\/p>\n<p><em>J. Math. Res. Exposition 19, <\/em> 431&#8211;436.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1699561\">MR 1699561<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0944.53036\">Zbl 0944.53036<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">CHANG, S.-Y. A.; WANG, L. and YANG, P. <strong>(1999)<\/strong>.<\/p>\n<p>A regularity theory of biharmonic maps.<\/p>\n<p><em>Comm. Pure Appl. Math. 52, <\/em> 1113&#8211;1137.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1692152\">MR 1692152<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0953.58013\">Zbl 0953.58013<\/a><\/td>\n<td align=\"center\" width=\"140\">Extrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">OU, Y.-L. <strong>(1999)<\/strong>.<br \/>\nBiharmonic morphisms between Riemannian manifolds.<em>Geometry and topology of submanifolds, X (Beijing\/Berlin,<br \/>\n1999), <\/em> 231&#8211;239.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1801915\">MR 1801915<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0997.53044\">Zbl 0997.53044<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">SUN, H.A. and CHIANG, Y.J. <strong>(2000)<\/strong>.<\/p>\n<p>2-harmonic maps between V-manifolds.<\/p>\n<p><em>J. Math. (Wuhan) 20, <\/em> 139&#8211;144.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1766459\">MR 1766459<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0960.58008\">Zbl 0960.58008<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">YU, Y.B. <strong>(2000)<\/strong>.<\/p>\n<p>Regularity of Intrinsic Biharmonic Maps to Spheres.<\/p>\n<p><em>Doctoral dissertation, <\/em> University of California, Los Angeles.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 000000<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, regularity<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">MOU, L. <strong>(2000)<\/strong>.<\/p>\n<p>Existence of biharmonic curves and symmetric biharmonic maps.<\/p>\n<p><em>Differential equations and computational simulations (Chengdu, 1999),<br \/>\nWorld Sci. Publishing, River Edge, NJ,<\/em> 284&#8211;291.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1774479\">MR 1774479<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0965.58021\">Zbl 0965.58021<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">HONG, S.-H. and SONG, W.-D <strong>(2000)<\/strong>.<\/p>\n<p>On the 2-harmonic hypersurfaces in a locally symmetric space.<\/p>\n<p><em>J. Anhui Norm. Univ., Nat. Sci. 23, <\/em> 313&#8211;316.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?02186070\">Zbl 02186070<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">OUYANG, C.Z. <strong>(2000)<\/strong>.<\/p>\n<p>2-harmonic space-like submanifolds of a pseudo-Riemannian space form.<\/p>\n<p><em>Chinese Ann. Math. Ser. A 21, <\/em> 649&#8211;654.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1813374\">MR 1813374<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0979.53070\">Zbl 0979.53070<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds, semi-Riemannian<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">CADDEO, R.; MONTALDO, S. and ONICIUC C. <strong>(2001)<\/strong>.<\/p>\n<p>Biharmonic submanifolds of S^3.<\/p>\n<p><em>Int. J. Math., 12, <\/em> 867&#8211;876.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1863283\">MR 1863283<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?01911905\">Zbl 01911905<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifold, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">CADDEO, R.; MONTALDO, S. and PIU, P. <strong>(2001)<\/strong>.<\/p>\n<p>Biharmonic curves on a surface.<\/p>\n<p><em>Rend. Mat. Appl., 21, <\/em> 143&#8211;157.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1884940\">MR 1884940<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1049.58020\">Zbl 1049.58020<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">CADDEO, R.; MONTALDO, S. and PIU, P. <strong>(2001)<\/strong>.<br \/>\nOn Biharmonic Maps.<em>Contemporary Mathematics, 288, <\/em> 286&#8211;290.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1871019\">MR 1871019<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1010.58009\">Zbl 1010.58009<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">Chiang, Y.J. and Sun, H.A. <strong>(2001)<\/strong>.<\/p>\n<p>Biharmonic maps of V-Manifolds.<\/p>\n<p><em>Inter. J. of Math and Math Sciences, 27, <\/em>477-484<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR <\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1012.58012\">Zbl 1012.58012 3<\/a><\/td>\n<td align=\"center\" width=\"140\">Extrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">LOUBEAU, E. and OU, Y.-L. <strong>(2001)<\/strong>.<\/p>\n<p>The characterization of biharmonic morphisms.<\/p>\n<p><em>Differential Geometry and its<br \/>\nApplications (Opava, 2001), Math. Publ., 3, <\/em> 31&#8211;41.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1978760\">MR 1978760<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1035.58015\">Zbl 1035.58015<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">CADDEO, R.; MONTALDO, S. and ONICIUC C. <strong>(2002)<\/strong>.<\/p>\n<p>Biharmonic submanifolds in spheres.<\/p>\n<p><em>Israel J. Math., 130, <\/em> 109&#8211;123.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1919374\">MR 1919374<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1038.58011\">Zbl 1038.58011<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifold, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">CADDEO, R.; MONTALDO, S. and ONICIUC C. <strong>(2002)<\/strong>.<\/p>\n<p>Biharmonic immersions into spheres.<\/p>\n<p><em>Differential geometry, Valencia,<br \/>\nWorld Sci. Publishing, River Edge, NJ, <\/em> 97&#8211;105.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1922040\">MR 1922040<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?01817556\">Zbl 01817556<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifold, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">SONG, W.D. <strong>(2002)<\/strong>.<\/p>\n<p>2-harmonic submanifolds of a locally symmetric space.<\/p>\n<p><em>Math. Appl. (Wuhan) 15, <\/em> 25&#8211;29.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1889134\">MR 1889134<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1036.53040\">Zbl 1036.53040<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">SUN, H.A.; ZHONG, D.X. and WU, Q.Q. <strong>(2002)<\/strong>.<\/p>\n<p>2-harmonic hypersurfaces in a de Sitter space.<\/p>\n<p><em>J. Math. (Wuhan) 22, <\/em> 83&#8211;86.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1897104\">MR 1897104<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1009.53026\">Zbl 1009.53026<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds, semi-Riemannian<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">ONICIUC, C. <strong>(2002)<\/strong>.<br \/>\nTangency and harmonicity properties.<em>Doctoral dissertation <\/em> &#8220;Al. I. Cuza&#8221; University, Iasi.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2159756\">MR 2159756<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1070.53037\">Zbl 1070.53037<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">ONICIUC, C. <strong>(2002)<\/strong>.<\/p>\n<p>Biharmonic maps between Riemannian manifolds.<\/p>\n<p><em>An. Stiint. Univ. Al.I.~Cuza Iasi Mat. (N.S.), 48, <\/em> 237&#8211;248.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2004799\">MR 2004799<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1061.58015\">Zbl 1061.58015<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">BELKHELFA, M.; HIRICA, I.E.; ROSCA, R. and VERSTRAELEN, L. <strong>(2002)<\/strong>.<\/p>\n<p>On Legendre curves in Riemannian and Lorentzian Sasaki spaces.<\/p>\n<p><em>Soochow J. Math., 28 <\/em> 81&#8211;91.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1893607\">MR 1893607<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1013.53016\">Zbl 1013.53016<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">ONICIUC, C. <strong>(2002)<\/strong>.<\/p>\n<p>On the second variation formula for biharmonic maps to a sphere.<\/p>\n<p><em>Publ. Math. Debrecen, 61, <\/em> 613&#8211;622.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1943720\">MR 1943720<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1006.58010\">Zbl 1006.58010<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, second variation<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">SUN, H.A. and ZHONG, D.X. <strong>(2003)<\/strong>.<\/p>\n<p>2-harmonic submanifolds in pseudo-Riemannian manifolds.<\/p>\n<p><em>J. Math. (Wuhan) 23, <\/em> 117&#8211;120.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1973139\">MR 1973139<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?02111306\">Zbl 02111306<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds, semi-Riemannian<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">BAIRD, P. and KAMISSOKO, D. <strong>(2003)<\/strong>.<br \/>\nOn constructing biharmonic maps and metrics.<em>Ann. Global Anal. Geom., 23, <\/em> 65&#8211;75.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1952859\">MR 1952859<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1027.31004\">Zbl 1027.31004<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">JAVALOYES, M. A. and MERONO , M. A. <strong>(2003)<\/strong>.<\/p>\n<p>Biharmonic lifts by means of pseudo-Riemannian submersions in dimension thre.<\/p>\n<p><em>Trans. Amer. Math. Soc., 355,<\/em> 169&#8211;176.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1928083\">MR 1928083<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1020.53033\">Zbl 1020.53033<\/a><\/td>\n<td align=\"center\" width=\"140\">Submanifolds, semi-Riemannian<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">SHU, S.C. and LIU, S.Y. <strong>(2003)<\/strong>.<\/p>\n<p>2-harmonic space-like submanifolds in de Sitter space.<\/p>\n<p><em>Gongcheng Shuxue Xuebao 20, <\/em> 135&#8211;138.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1975353\">MR 1975353<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1031.53044\">Zbl 1031.53044<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds, semi-Riemannian<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">ONICIUC, C. <strong>(2003)<\/strong>.<\/p>\n<p>New examples of biharmonic maps in spheres.<\/p>\n<p><em>Colloq. Math., 97, <\/em> 131&#8211;139.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2010548\">MR 2010548<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1058.58003\">Zbl 1058.58003<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">STRZELECKI, P. <strong>(2003)<\/strong>.<\/p>\n<p>On biharmonic maps and their generalizations.<\/p>\n<p><em>Calc. Var., 18, <\/em> 401&#8211;432.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2020368\">MR 2020368<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?02038440\">Zbl 02038440<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, regularity<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">EKMEKCI, N. and YAZ, N. <strong>(2003)<\/strong>.<\/p>\n<p>Biharmonic general helices and submanifolds in an indefinite-Riemannian manifold.<\/p>\n<p><em>Tensor (N.S.), 64, <\/em> 282&#8211;289.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2080341\">MR 2080341<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl <\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">INOGUCHI, J.-I. <strong>(2003)<\/strong>.<\/p>\n<p>Biharmonic curves in Minkowski 3-space.<\/p>\n<p><em>Int. J. Math. Math. Sci., 21, <\/em>1365&#8211;1368.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1990566\">MR 1990566<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?01930034\">Zbl 01930034<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">KILLIC, B.; ARSLAN, K.; LUMISTE, U. and MURATHAN, C. <strong>(2003)<\/strong>.<\/p>\n<p>On weak biharmonic submanifolds and 2-parallelity.<\/p>\n<p><em>Differ. Geom. Dyn. Syst., 5, <\/em>39&#8211;48.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1951456\">MR 1951456<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1054.53026\">Zbl 1054.53026<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">BALMUS, A. <strong>(2004)<\/strong>.<\/p>\n<p>Biharmonic properties and conformal changes.<\/p>\n<p><em>An. Stiint. Univ. Al.I. Cuza Iasi Mat. (N.S.), 50, <\/em> 361&#8211;372.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2131943\">MR 2131943<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1070.58016\">Zbl 1070.58016<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">EKMEKCI, N. and YAZ, N. <strong>(2004)<\/strong>.<\/p>\n<p>Biharmonic general helices in contact and Sasakian manifolds.<\/p>\n<p><em>Tensor (N.S.), 65, <\/em> 103&#8211;108.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2104451\">MR 2104451<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl <\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">BALMUS, A. <strong>(2004)<\/strong>.<\/p>\n<p>On the biharmonic curves of the Euclidian and Berger 3-dimensional spheres.<\/p>\n<p><em>Sci. Ann. Univ. Agric. Sci. Vet.<br \/>\nMed., 47, <\/em> 87&#8211;96.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2148103\">MR 2148103<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl <\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">ONICIUC, C. <strong>(2004)<\/strong>.<\/p>\n<p>Biharmonic maps in spheres and conformal changes.<\/p>\n<p><em>Recent advances in geometry and<br \/>\ntopology, Cluj Univ. Press, Cluj-Napoca, <\/em> 279&#8211;282.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2113592\">MR 2113592<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1070.53036\">Zbl 1070.53036<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">CADDEO, R.; ONICIUC, C. and PIU, P. <strong>(2004)<\/strong>.<\/p>\n<p>Explicit formulas for non-geodesic biharmonic curves of the Heisenberg group.<\/p>\n<p><em>Rend. Sem. Mat. Univ. Politec. Torino, 62, <\/em> 265&#8211;278.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2129448\">MR 2129448<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl <\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">INOGUCHI, J. <strong>(2004)<\/strong>.<\/p>\n<p>Submanifolds with harmonic mean curvature in contact 3-manifolds.<\/p>\n<p><em>Colloq. Math., 100, <\/em> 163&#8211;179.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2107514\">MR 2107514<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?02106981\">Zbl 02106981<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifold, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">LAMM, T. <strong>(2004)<\/strong>.<\/p>\n<p>Heat flow for extrinsic biharmonic maps with small initial energy.<\/p>\n<p><em>Ann. Global. Anal. Geom., 26, <\/em> 369&#8211;384.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2103406\">MR 2103406 <\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?02158450\">Zbl 02158450<\/a><\/td>\n<td align=\"center\" width=\"140\">Extrinsic, heat flow<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">WANG, C. <strong>(2004)<\/strong>.<\/p>\n<p>Biharmonic maps from R^4 into a Riemannian manifold.<\/p>\n<p><em>Math. Z., 247, <\/em>65&#8211;87.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2054520\">MR 2054520<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1064.58016\">Zbl 1064.58016<\/a><\/td>\n<td align=\"center\" width=\"140\">Extrinsic, Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">WANG, C. <strong>(2004)<\/strong>.<\/p>\n<p>Stationary biharmonic maps from R^m into a Riemannian manifold.<\/p>\n<p><em>Comm. Pure Appl. Math., 57, <\/em>419&#8211;444.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2026177\">MR 2026177<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1055.58008\">Zbl 1055.58008<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, extrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">WANG, C. <strong>(2004)<\/strong>.<\/p>\n<p>Remarks on biharmonic maps into spheres.<\/p>\n<p><em>Calc. Var., 21, <\/em>221&#8211;242.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2094320\">MR 2094320<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?1060.58011\">Zbl 1060.58011<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, extrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">ZHANG, Y. <strong>(2004)<\/strong>.<br \/>\nOn 2-harmonic submanifolds in Riemannian manifolds.<em>J. Zhejiang Univ. Sci. Ed. 31, <\/em> 605&#8211;609.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2110991\">MR 2110991<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl <\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds,<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" valign=\"top\" width=\"450\">LAMM, T. <strong>(2005)<\/strong>.<\/p>\n<p>Biharmonic Maps.<br \/>\n<em>Doctoral dissertation, <\/em> Albert-Ludwigs-Universitat Freiburg im Breisgau.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 000000<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">BALMUS, A. and ONICIUC, C. <strong>(2005)<\/strong>.<\/p>\n<p>Some remarks on the biharmonic submanifolds of S^3 and their stability.<\/p>\n<p><em>An. Stiint. Univ.<br \/>\nAl.I. Cuza Iasi, Mat. (N.S), 51, <\/em>171&#8211;190.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 000000<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifold, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">LOUBEAU, E. and ONICIUC, C. <strong>(2005)<\/strong>.<\/p>\n<p>The index of biharmonic maps in spheres.<\/p>\n<p><em>Compositio Math., 141, <\/em>729&#8211;745.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2135286\">MR 2135286<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?02183038\">Zbl 02183038<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, second variation<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">LOUBEAU, E. and ONICIUC, C. <strong>(2005)<\/strong>.<\/p>\n<p>The biharmonic index of the Hopf map.<\/p>\n<p><em>Tensor (N.S.), 66, <\/em>1&#8211;8.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2165169\">MR 2165169<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, second variation<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">SASAHARA, T. <strong> (2005)<\/strong><\/p>\n<p>Legendre surfaces in Sasakian space forms whose mean curvature vectors<br \/>\nare eigenvectors.<\/p>\n<p><em> Pub. Math. Debracen, 67<\/em> 285&#8211;303.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 000000<br \/>\n<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">LOUBEAU, E.; MONTALDO, S. <strong>(2005)<\/strong>.<br \/>\nExamples of biminimal surfaces of Thurston&#8217;s three-dimensional geometries.<em>Mat. Contemp., 29, <\/em> 1&#8211;29.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=0000000\">MR0000000<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0000.00000\">Zbl 0000.00000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">ANGELSBERG, G. <strong>(2006)<\/strong>.<\/p>\n<p>A monotonicity formula for stationary biharmonic maps.<\/p>\n<p><em>Math. Z., 252, <\/em> 287&#8211;293.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=0000000\">MR<br \/>\n0000000<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?0000.00000\">Zbl 0000.00000<\/a><\/td>\n<td align=\"center\" width=\"140\">Extrinsic, singularities, monotonicity<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td align=\"left\" width=\"450\">FETCU, D. <strong>(2005)<\/strong><\/p>\n<p>Biharmonic curves in the generalized Heisenberg group.<\/p>\n<p><em>Beitrage zur algebra und geometrie 46, 513&#8211;521<\/em><\/td>\n<td align=\"center\" width=\"110\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 00000<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">LOUBEAU, E. and ONICIUC, C. <strong>(to appear)<\/strong><\/p>\n<p>On the biharmonic and harmonic indices of the Hopf map.<\/p>\n<p><em>Trans. Amer. Math. Soc.<\/em>.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 000000<br \/>\n<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, second variation<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">DEFEVER, F.; KAIMAKAMIS G. and PAPANTONIOU, B.J. <strong> (2006)<\/strong><\/p>\n<p>Biharmonic hypersurfaces of the 4-dimensional semi-Euclidean space E^4_s.<br \/>\n<em>J. Math. Anal. Appl. 315<\/em> 276-286.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 000000<br \/>\n<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, semi-Riemannian, submanifolds<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">OU, Y.L. <strong>(to appear)<\/strong><\/p>\n<p>p-harmonic morphisms, biharmonic morphisms, and nonharmonic biharmonic maps.<\/p>\n<p><em>J. Geom. Phys.<\/em>.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 000000<br \/>\n<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">ARVANITOYEORGOS, A.; DEFEVER, F.; KAIMAKAMIS G.; PAPANTONIOU, B.J. <strong> (to appear)<\/strong><\/p>\n<p>Biharmonic Lorentz hypersurfaces in E_1^4.<\/p>\n<p><em>Pacific J. Math.<\/em><\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 000000<br \/>\n<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, semi-Riemannian, submanifolds<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">ARSLAN, K.; EZENTAS, R.; MURATHAN, C. and SASAHARA, T.<br \/>\n<strong>(2006)<\/strong>Biharmonic submanifolds in 3-dimensional (k,mu)-manifolds.<\/p>\n<p>Internat. J. Math. Math. Sci.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 000000<br \/>\n<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">BEJAN, C.-L. and URAKAWA, H. <strong>(preprint)<\/strong>.<\/p>\n<p>Yang-Mills fields analogues of biharmonic maps.<br \/>\n.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=0000000\">MR<br \/>\n0000000<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?0000.00000\">Zbl 0000.00000<\/a><\/td>\n<td align=\"center\" width=\"140\">Also contains short survey of (intrinsic) biharmonic maps.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">ARSLAN, K.; EZENTAS, R.; MURATHAN, C. and SASAHARA, T. <strong> (preprint) <\/strong><\/p>\n<p>Biharmonic anti-invariant submanifolds in Sasakian<br \/>\nspace forms.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 000000<br \/>\n<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">BALMUS, A.; MONTALDO, S and ONICIUC, C. <strong> (preprint)<\/strong><\/p>\n<p>Biharmonic maps between warped product manifolds.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 000000<br \/>\n<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">CADDEO, R.; MONTALDO, S.; ONICIUC, C. and PIU, P. <strong> (preprint)<\/strong><\/p>\n<p>The classification of biharmonic curves of Cartan-Vranceanu 3-dimensional space.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 000000<br \/>\n<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">CHO, J.T.; INOGUCHI, J. and LEE, J.E. <strong> (preprint)<\/strong><\/p>\n<p>Biharmonic curves in 3-dimensional Saskian space forms.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 000000<br \/>\n<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, curves<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">LOUBEAU, E. and MONTALDO, S. <strong> (preprint)<\/strong><\/p>\n<p>Biminimal immersions.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 000000<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic, submanifolds<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">SASAHARA, T. <strong> (preprint)<\/strong><\/p>\n<p>Stability of biharmonic Legendre submanifolds in Sasakian space forms.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 000000<br \/>\n<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">LOUBEAU, E.; MONTALDO, S.; ONICIUC, C.<strong>(2006)<\/strong>.<\/p>\n<p>The stress-energy tensor for biharmonic maps.<\/p>\n<p><em>math.DG\/0602021<\/em>.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=0000000\">MR0000000<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0000.00000\">Zbl 0000.00000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">SASAHARA, T.<\/p>\n<p>Biminimal Legendrian surfaces in 5-dimensional Sasakian<br \/>\nspace forms.<br \/>\n<em>Colloq. Math.<\/em> 108 (2007), 297-304<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 000000<br \/>\n<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">CHEN, B-Y. <strong> (preprint)<\/strong><\/p>\n<p>Classification of marginally trapped Lorentzian flat surfaces in<br \/>\nE^4_2 and its application to biharmonic surfaces<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=\">MR 000000<br \/>\n<\/a><a href=\"http:\/\/www.emis.de\/MATH-item?\">Zbl 000000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table border=\"0\" width=\"700\" bgcolor=\"#ffffff\">\n<tbody>\n<tr>\n<td width=\"450\">BALMUS, A.; MONTALDO, S.; ONICIUC, C.<strong>(2007)<\/strong>.<\/p>\n<p>Classification results for biharmonic submanifolds in spheres.<\/p>\n<p><em>math.DG\/0701155<\/em>.<\/td>\n<td align=\"center\" width=\"140\"><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=0000000\">MR0000000<\/a><\/p>\n<p><a href=\"http:\/\/www.emis.de\/MATH-item?0000.00000\">Zbl 0000.00000<\/a><\/td>\n<td align=\"center\" width=\"140\">Intrinsic<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>EELLS, J. and SAMPSON, J.H. (1964). Harmonic mappings of Riemannian manifolds. Amer. J. Math. 86, 109&#8211;160. MR 0164306 Zbl 0122.40102 Harmonic maps EELLS, J. and SAMPSON, J.H. (1964). Energie et deformations en geometrie differentielle. Ann. Inst. Fourier, 14, 61&#8211;70. MR 0172310Zbl 0123.38703 Intrisic (p. 67) EELLS, J. and SAMPSON, J.H. (1965). Variational theory in fibre bundles. US-Japan Seminar in Diff. Geom., 22&#8211;33. MR 0216519Zbl 0192.29801 Intrisic (p. 29, theorem erroneous) EELLS, J. (1966). A setting for global analysis. Bull. Amer. Math. Soc., 72, 751&#8211;807. MR 0203742Zbl 0000.00000 Intrinsic (p. 792, statement p. 792-793 erroneous) ELIASSON, H.I. (1967). Geometry of manifolds <a href='https:\/\/people.unica.it\/biharmonic\/publication\/' class='excerpt-more'>[&#8230;]<\/a><\/p>\n","protected":false},"author":110,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-12","page","type-page","status-publish","hentry","category-1-id","post-seq-1","post-parity-odd","meta-position-corners","fix"],"_links":{"self":[{"href":"https:\/\/people.unica.it\/biharmonic\/wp-json\/wp\/v2\/pages\/12","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.unica.it\/biharmonic\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.unica.it\/biharmonic\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.unica.it\/biharmonic\/wp-json\/wp\/v2\/users\/110"}],"replies":[{"embeddable":true,"href":"https:\/\/people.unica.it\/biharmonic\/wp-json\/wp\/v2\/comments?post=12"}],"version-history":[{"count":4,"href":"https:\/\/people.unica.it\/biharmonic\/wp-json\/wp\/v2\/pages\/12\/revisions"}],"predecessor-version":[{"id":47,"href":"https:\/\/people.unica.it\/biharmonic\/wp-json\/wp\/v2\/pages\/12\/revisions\/47"}],"wp:attachment":[{"href":"https:\/\/people.unica.it\/biharmonic\/wp-json\/wp\/v2\/media?parent=12"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}