Publications
on minimal and constant mean
curvatures hypersurfaces:
|
24. New examples of
maximal space like surfaces
in the anti de-Sitter space,
J.Math. Anal. Appl.
353 (2009) 403-409 |
|
23. CMC hypersurfaces
on riemannian and semi-riemannian
manifolds.
ArXiv |
|
22.
Embedded CMC hypersurfaces
on Hyperbolic spaces.
ArXiv |
|
21.
Metricas Planas y el teorema
de uniformizacion en toros
minimos de la esfera 3
dimensional
Co-authored with Salas and
Montano Rev. Colomb. Cienc.
32 (123): 235-243,
2008 |
|
20
Embedded CMC hypersurfaces
on hyperbolic spaces.
ArXiv |
|
19. Algebraic
zero mean curvature
varieties in semi-riemannian
manifolds.
ArXiv
|
|
18.
Embedded constant mean
curvature hypersurfaces on
spheres.
ArXiv
|
|
17.
A charaterization of
Quadric Constant Mean
curvature Hypersurfaces of
spheres.
J Geom Anal, 18 2008 no. 3 687--703
(Co-authored with Alias and Brasil).
ArXiv version
|
|
16.
On the stability
index of hypersurfaces with
constant mean curvature in
spheres
Proc. Amer. Math. Soc.
135 (2007) no. 11,
3685-3693. (Co-authored with
Alias and Brasil)
|
|
15.
Characterization of
order 3 algebraic immersed
minimal surfaces of S3.
Geom. Dedicata 129
(2007) 23-34. |
|
14.
Minimal torus in S3
invariant under one
reflection,
Matematicas:Ensenanza
Universitaria, Special
Issue (2007) 11-16. |
|
13.
Hipervariedades
minimas algebraicas en Sn.
Rev. Un. Mat. Argentina
47 (2006) 67-75.
(Co-authored with Mesa) |
|
12.
Stable constant mean
curvature hypersurfaces in
the real projective space.,
manuscript Math 121
(2006). (Co-authored with
Alias and Brasil) |
|
11.
Non-existence of
regular algebraic surfaces
of spheres of degree 3.
J. Geom. 84 (2005),
no 1-2, 100-105 |
|
10.
Another proof for the
rigidity of Clifford minimal
hypersurfaces fo Sn.
Matematicas:Ensenanza
Universitaria , 13
(2005), no. 2,
13-18 |
|
9.
Distributions of
minimal varieties in spheres
in terms of the coordinate
functions.
Rocky Mountain J. Math.
35 (2005), no1.
227-233. |
|
8.
Minimal hypersurfaces
in Rnas regular
values of a function,
Rev. Integr. Temas mat.
22, (2004),
no.1-2, 1-6. |
|
7.
Rigidity of minimal
hypersurfaces with two
principal curvatures.
Archiv. Mathematic. 82
(2004), 180-184. |
|
6.
Rigidity of minimal
hypersurfaces of spheres
with constant Ricci
curvature,
Rev. Colombiana Mat. 38
(2004), no.2 73–85
|
|
5.
On the average of the
scalar curvature for minimal
hypersurfaces of spheres
with low index.
Illinois Journal of
Mathematics 48 no.2
(2004), 559–565 |
|
4.
Stable minimal
hypersurfaces in R8
and R9 with
constant scalar curvature.,
Rev. Colombiana Mat., 36,
(2002), 96–106 |
|
3.
Low index minimal
hypersurfaces of spheres.
Asian Journal of
Mathematics, 5 (2001)
no 4, 715-724. |
|
2.
First eigenvalue
characterization of Clifford
hypersurfaces,
Proc. Amer. Math. Soc.,
130, (2002), 3379-3384. |
|
1.
La aplicacion de
Gauss de una superficie
minima completa y
Lagrangiana no puede omitir
mas de 4 puntos.
Memorias III Escuela de
Verano, Universidad de los
Andes, (June 1995) 33-40.
|
Publications
on Hopf's conjecture:
Other
publications:
|
1.
Morse Theory for semi
analytic functions
J. Geom. 84, (2005),
no 1-2, 13-22 (Co-authored
with Arango). |
|
2.
Nonembeddability of
the Klein Bottle in RP3
and Lawson conjecture.
Revista Acad. Colombiana
Cienc. Exact. Fis. Natur.
29 (2005), no 110,
149-154. |
|
3
Sobre el nacimiento de la
geometria Riemanniana.
Revista Tumbaga (2008),
3, 157-173 |
|
4.
Mathematical
foundations of a surface
made out of triangles.
Revista epiciclos. 4
(2005), 77-85. |
|
