Research Papers and Books

 

In Press

2018

  1. with S. Gudmundsson, A. Ratto,  Biharmonic functions on the classical compact simple Lie groups, The Journal of Geometric Analysis, 28 (2018), no. 2, 1525–1547. 
  2. with I.I. Onnis and A. Passos Pasamani, Biharmonic constant mean curvature surfaces in Killing submersions. J. Geom. Phys. 133 (2018), 91–101.
  3. with A. Ratto, Proper r-harmonic submanifolds into ellipsoids and rotation hypersurfaces. Nonlinear Anal. 172 (2018), 59–72.
  4. with A. Ratto, New examples of r-harmonic immersions into the sphere. J. Math. Anal. Appl. 458 (2018), no. 1, 849–859.

2017

  1. with I.I. Onnis, A. Passos Passamani, Biconservative surfaces in BCV-spaces, Math. Nachr. 290 (2017), 2661-2672.
  2. with A. Ratto, A note on the Almansi property. Mediterr. J. Math. 14 (2017), no. 5, Art. 200, 13 pp.

2016

  1. with O. Garay, Elasticae in Killing submersions, Mediterr. J. Math.  13 (2016), 3281–3302. PDF
  2. with A. Ratto and C. Oniciuc, Proper Biconservative immersions into the Euclidean space. Ann. Mat. Pura e App. 195 (2016), 403-422. PDF
  3. with A. Ratto and C. Oniciuc, On cohomogeneity one biharmonic hypersurfaces into the Euclidean space. J. Geom. Phys. 106 (2016),305-313. arXiv:1507.03964
  4. with I. Onnis and A. Passos Passamani, Helix surfaces in the special linear group. Ann. Mat. Pura e App.  195 (2016), 59-77. PDF
  5. with A. Ratto and C. Oniciuc, Biconservative surfaces, The Journal of Geometric Analysis  26 (2016), 313-329 PDF
  6. with C. Oniciuc and A. Ratto, Reduction methods for the bienergy,  Rev. Roumaine Math. Pure Appl. 61 (2016), 261-292 PDF

2015

  1. with A. Ratto, Biharmonic curves into quadrics, Glasgow Math. J. 2. 57 (2015), 131-141.  PDF
  2. with A. Ratto, Biharmonic submanifolds into ellipsoids. Monatshefte für Mathematik.  176 (2015), 589-601. PDF
  3. with A. Ratto and C. Oniciuc, Rotationally symmetric biharmonic maps between models. J. Math. Anal. Appl. 431 (2015), 494-508. PDF

2014

  1. with C. Oniciuc and A. Ratto, Biharmonic immersions into spheres and ellipsoids,  Rev. Roumaine Math. Pure Appl. 59 (2014) 425-442.
  2. with I. Onnis, Helix surfaces in the Berger sphere. Israel J. Math. 201 (2014), 949-966. PDF
  3. with R. Caddeo, C. Oniciuc and P. Piu, Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor, Ann. Mat. Pura e App. 193 (2014), 529-550.  PDF
  4. with S. Dragomir, Subelliptic biharmonic maps. The Journal of Geometric Analysis 24 (2014), 223-245. PDF

2013

  1. with A. Ratto, A general approach to equivariant biharmonic maps. Mediterr. J. Math. 10 (2013), 10127-1239. PDF
  2. with A. Bambus and C. Oniciuc, Biharmonic PNMC submanifolds in spheres. Ark. Mat. 51 (2013), 197-221.  PDF

2012

  1. with A. Bambus and C. Oniciuc,  New results toward the classification of biharmonic submanifolds in S^n,  An. St. Univ. Ovidius Constanta 20 (212), 89-114. PDF

2011

Book: con A. Ratto, Matematica: 2^3 capitoli per tutti, Liguori editore, 2011.

Book: Harmonic Maps and Differential Geometry, edited by E. Loubeau and S. Montaldo, Contemporary Mathematics 542 (2011).

  1. with F. Mercuri and I.I. Onnis, A note on invariant surfaces with constant extrinsic curvature, Contemporary Mathematics 542 (2011) 213–221.
  2. with I.I. Onnis, Geodesic on a invariant surface, J. Geom. Phys. 61 (2011) 1385–1395.  PDF.

2010

  1. with D. Fetcu, E. Loubeau and C. Oniciuc, Biharmonic submanifolds of $CP^n$, Math. Z. 266 (2010), 505-531. PDF
  2. with A. Balmus and C. Oniciuc, Biharmonic hypersurfaces in $4$-dimensional space forms, Math. Nachr. 283 (2010),1696-1705. PDF
  3. with A. Balmus and C. Oniciuc, Submanifolds with Biharmonic Gauss Map, Internat. J. Math. 12 (2010), 1585-1603. PDF
  4. with A. Ratto, A generalisation of the Hopf map and harmonic morphisms to S^2, Ann. Mat. Pura e App. 189 (2010), 605–613. PDF

2009

  1. with D. Impera, Totally biharmonic submanifolds, Differential geometry, 237–246, World Sci. Publ., Hackensack, NJ, 2009.
  2. with I.I. Onnis, Biharmonic curves on an invariant surface, J. Geom. Phys. 59 (2009), 391-399.
  3. with A. Balmus and C. Oniciuc, Classication results and new examples of proper biharmonic submanifolds in spheres, Note di Matematica 28 (2009), 49–61.
  4. with A. Balmus and C. Oniciuc, Properties of biharmonic submanifolds in spheres, Proceedings of the 11-th International Conference on Geometry, Integrability and Quantization, Varna 2009, Bulgaria.

2008

  1. with E. Loubeau and C. Oniciuc, The stress-energy tensor for biharmonic maps, Math. Z. 259 (2008), 503-524.
  2. with E. Loubeau, Biminimal immersions, Proc. Edinb. Math. Soc. 51 (2008), 421-437.
  3. with A. Balmus and C. Oniciuc, Classification results for biharmonic submanifolds in spheres, Israel J. Math 168 (2008), 201-220.

2007

  1. with A. Balmus and C. Oniciuc, Biharmonic maps between warped product manifolds, J. Geom. Phys. 57 (2007), 449-466.
  2. with I.I. Onnis, A note on surfaces in $\h^2\times\r$, Boll. Un. Mat. Ital. B (8) 10 (2007), 939-950.
  3. with I.I. Onnis, Enneper representation and the Gauss map of minimal surfaces in the product $\h^2\times\r$, Matematica Contemporanea 33 (2007), 197-211.

2006

  1. with F. Mercuri e P. Piu, A Weierstrass representation formula for minimal surfaces in $\h_3$ and $\h^2\times\r$, Acta M. Sinica 22 (2006), 1603–1612.
  2. with C. Oniciuc, A short survey on Biharmonic maps between Riemannian manifolds, Revista de la Union Matematica Argentina 47 (2006). 1–22.
  3. with R. Caddeo, C. Oniciuc and P. Piu, The classification of biharmonic curves of Cartan-Vranceanu $3$-dimensionl spaces, Modern trends in geometry and topology, Cluj Univ. Press (2006), 121–131.
  4. with R. Caddeo, C. Oniciuc and P. Piu, The Euler-Lagrange method for biharmonic curves, Mediterr. J. Math. 3 (2006), 449-465.

2005

  1. with I.I. Onnis, Invariant surfaces in a three-manifold with constant gauss curvature, J. Geom. Phys. 55 (2005), 440–449.
  2. with I.I. Onnis, Invariant surfaces in $\h^2\times\r$ with constant (mean or Gauss) curvature, Publ. de la RSME 9 (2005), 91–103.
  3. with E. Loubeau, Examples of biminimal surfaces of Thurston’s three-dimensional geometries, Matematica Contemporanea 29 (2005), 1–12.

1996-2004

  1. p-Harmonic maps and stability of Riemannian submersions, Boll. Un. Mat. Ital. A (7) 10 (1996), 537–550.
  2. Stability of harmonic morphisms to a surface, Internat. J. Math. 9 (1998), 865–875.
  3. p-Minimising tangent maps and harmonic k-forms, Boll. Un. Mat. Ital. B (8) 2 (1999) 331–339.
  4. Stability of harmonic morphisms, Algebras, Groups and Geometry 16 (1999), 277–286.
  5. with E. Loubeau, A note on exponentially harmonic morphisms, Glasgow Math. J. 42 (2000), 25–29.
  6. A minimising property of the radial projection, Sem. Mat. Univ. Pol. Torino 56 (1998), 55–58.
  7. with J.C. Wood, Harmonic morphisms and the Jacobi operator, Rend. Sem. Fac. Sci. Univ. Cagliari 70 (2000), 21–28.
  8. with R. Caddeo and P. Piu, On biharmonic maps, Contemp. Math. 288 – Edited by: Marisa Fern·ndez and Joseph A. Wolf, AMS (2001), 286-290.
  9. with R. Caddeo and P. Piu, The Moebius strip and the Viviani’s Windows, The Mathematical Intelligencer 23 (2001), 36–39.
  10. with R. Caddeo and C. Oniciuc, Biharmonic submanifolds of $\s^3$, Internat. J. Math. 12 (2001), 867–876.
  11. with R. Caddeo and P. Piu, Biharmonic curves in a surface, Rend. Mat. Appl. (7) 21 (2001), 143-157.
  12. with R. Caddeo and C. Oniciuc, Biharmonic submanifolds in spheres, Israel J. Math. 30 (2002), 109–123.
  13. On minimal surfaces in the Heisenberg space, Recent advances in geometry and topology, Cluj- Univ. Press (2004), 249–258.
  14. with I.I. Onnis, Invariant CMC surfaces in $\h^2\times\r$, Glasg. Math. J. 46 (2004), 311–321.
  15. with R. Caddeo and P. Piu, Fenomeni geometrico-differenziali nella teoria delle curve e delle superfici: aspetti grafici ed applicazioni scientifiche, tecniche e didattiche, Rend. Sem. Fac. Sci. Univ. Cagliari, supplemento n. 1 al vol 73 (2003), 341–349.
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