PREPRINTS
Existence of vertical ends of mean curvature 1/2 in H² x R (with B. Nelli and M. F. Elbert). Transactions
of the American Mathematical Society,
vol. 364, 1179-1191, 2012. Click here.
Minimal graphs in Hn × R and Rn+1 (with E. Toubiana). hal-00411528,arXiv:0908.4170v2. Annales de l'Institut Fourier, vol
60,7, 2373-2402, 2010. Click here
Lindelöf's
theorem for hyperbolic catenoids: hal-00429404v1. Proceedings of the American Mathematical Society, vol. 138, p.
3657-3657, 2010. Click here
Lindelöf's
theorem for catenoids revisited (with P. Bérard): hal-00407395v1, arXiv-0907.4294v1. Click here.
A Halfspace Theorem for Mean Curvature H=1/2 in H2
× R (with B. Nelli). Journal of Mathematical Analysis and Applications, 365, 167-170,
2010. Click here.
Examples
of H-hypersurfaces in Hn × R and
geometric applications. (with
P. Bérard). Matemática Contemporânea (volume comemorativo do octagésimo aniversário de Manfredo P. do Carmo), 34: 19-51, 2008. Click here. hal-00360077v2, arXiv:0902.1623v2
Minimal hypersurfaces in Hn × R,
total curvature and index (with P. Bérard). Click here.
arXiv:0808.3838v3, HAL:
00315294v3.
An asymptotic theorem for minimal
surfaces and existence results for minimal graphs in H2 × R (with E. Toubiana). Tohoku Mathematical Journal, vol. 60, p. 267-286, 2008. Clique aqui. Mathematische Annalen. Published on line, May 2008. The original publication on line is available
at www.springer.com at the site of Mathematische
Annalen, 342: 309-331, DOI 10.1007/s00208-008-0237-0, October 2008, please
click here.
Parabolic and
Hyperbolic Screw motion
Surfaces in H2 × R. Clique aqui. Journal of the Australian Math.
Society, 85: 113-143, DOI
10.1017/S1446788708000013.
Associate
and Conjugate Minimal Immersions in M2× R (Published article with L. Hauswirth and E. Toubiana). Clique aqui. The abstract of the original publication is
available at the site of Tohoku Mathematical Journal, June 2008, click here.
Uniqueness of H-surfaces in H2×R, H≤
½, with Boundary One or Two Parallel Horizontal Circles (Published article with B. Nelli, R. Sa
Earp, W. Santos and E. Toubiana). Clique aqui. The
original publication is available at www.springer.com at the site of Annals of Global Analysis and
Geometry Ann Glob Anal Geom. 33:307–321, DOI 10.1007/s10455-007-9087-3, June of 2008, click here.
Published on line, October 2007.
Screw Motions Surfaces in H2 × R and in S2 × R (with E. Toubiana). Clique aqui. Published in Illinois
Journal of Mathematics 2005.
A Note
on Surfaces with Prescribed Oriented Euclidean Gauss Map (with E. Toubiana). Clique aqui. Published in International
Journal of Mathematics and Mathematical Sciences 2005.
Existence
and Non-Existence for a Mean Curvature Equation in Hyperbolic Space (with E. M. Guio). Comunication on Pure and Applied Analysis (CPAA), 4, N.3, 549-568, 2005. Click here. Errata corrige to Existence and non-existence for a mean curvature
equation in hyperbolic space: CPAA, 7 N.2, 465, 2008. Click here.
Older Preprint
On the Geometry of Constant Mean
Curvature One Surfaces in Hyperbolic Space (with E. Toubiana). Clique aqui..