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Publications on minimal and constant mean curvatures hypersurfaces

A dynamical interpretation of the profile curve of cmc Twizzlers surfaces. ArXiV
New examples of maximal space like surfaces in the anti de-Sitter space,
J.Math. Anal. Appl. 353 (2009) 403-409
CMC hypersurfaces on riemannian and semi-riemannian manifolds.
ArXiV
Algebraic constant mean curvature surfaces in Eulidean space.
ArXiV Accepted for publication in the Houston J. math.
Embedded CMC hypersurfaces on Hyperbolic spaces.
ArXiV
Algebraic Order two algebraic minimal hypersurfaces in the hyperbolic space
(Co-authored with Castaneda)
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
Embedded CMC hypersurfaces on hyperbolic spaces.
ArXiV
Algebraic zero mean curvature varieties in semi-riemannian manifolds.
ArXiV Accepted for publication in the Geom. Dedicata.
Embedded constant mean curvature hypersurfaces on spheres.
Asian J. Math. 14, (2010) 73-108 ArXiV
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
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)
Characterization of order 3 algebraic immersed minimal surfaces of S³.
Geom. Dedicata
129
(2007) 23-34.
Minimal torus in S3 invariant under one reflection,
Matematicas:Ensenanza Universitaria,
Special Issue
(2007) 11-16.
Hipervariedades minimas algebraicas en Sⁿ.
Rev. Un. Mat. Argentina
47
(2006) 67-75. (Co-authored with Mesa)
Stable constant mean curvature hypersurfaces in the real projective space., manuscript Math
121
(2006). (Co-authored with Alias and Brasil)
Non-existence of regular algebraic surfaces of spheres of degree 3.
J. Geom.
84
(2005), no 1-2, 100-105
Another proof for the rigidity of Clifford minimal hypersurfaces fo Sⁿ.
Matematicas:Ensenanza Universitaria ,
13
(2005), no. 2, 13-18
Distributions of minimal varieties in spheres in terms of the coordinate functions.
Rocky Mountain J. Math.
35
(2005), no1. 227-233.
Minimal hypersurfaces in Rnas regular values of a function,
Rev. Integr. Temas mat.
22
, (2004), no.1-2, 1-6.
Rigidity of minimal hypersurfaces with two principal curvatures.
Archiv. Mathematic.
82
(2004), 180-184.
Rigidity of minimal hypersurfaces of spheres with constant Ricci curvature,
Rev. Colombiana Mat. 38 (2004), no.2 73-85
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
Stable minimal hypersurfaces in R⁸ and R⁹ with constant scalar curvature.
, Rev. Colombiana Mat., 36, (2002), 96-106
Low index minimal hypersurfaces of spheres.
Asian Journal of Mathematics,
5
(2001) no 4, 715-724.
First eigenvalue characterization of Clifford hypersurfaces,
Proc. Amer. Math. Soc.,
130
, (2002), 3379-3384.
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:

Metrics on products of surfaces with non positive sectional curvature
, Israel Journal of Mathematics
156
(2006) 329-338.
Graficas de funciones sobre variedades.
Matematicas:Ensenanza Universitaria,
7
(2004), no.1, 21-26.
Totally geodesics surfaces and the Hopf conjecture
, Matematicas:Ensenanza Universitaria,
10
(2005), no.1- 2, 29-35.

Other publications:

Morse Theory for semi analytic functions
J. Geom.
84
, (2005), no 1-2, 13-22 (Co-authored with Arango).
Nonembeddability of the Klein Bottle in RP3 and Lawson conjecture.
Revista Acad. Colombiana Cienc. Exact. Fis. Natur.
29
(2005), no 110, 149-154.
Sobre el nacimiento de la geometria Riemanniana.
Revista Tumbaga (2008), 3, 157-173
Mathematical foundations of a surface made out of triangles.
Revista epiciclos.
4
(2005), 77-85.

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