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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Rigidity and Bifurcation Results for CMC Hypersurfaces in Warped Product Spaces

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Author(s):
Carolina Garcia-Martinez, S. [1] ; Herrera, Jonatan [2]
Total Authors: 2
Affiliation:
[1] Univ Nacl Colombia, Dept Matemat, Carrera 45 26-85 Edificio Uriel Gutierrez, Bogota - Colombia
[2] Univ Sao Paulo, Inst Matemt & Estat, Rua Matao, 1010 Cidade Univ, Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: JOURNAL OF GEOMETRIC ANALYSIS; v. 26, n. 2, p. 1186-1201, APR 2016.
Web of Science Citations: 0
Abstract

In this paper, we deduce some rigidity results in warped product spaces under normal variations of CMC hypersurfaces. In particular, we prove the existence of one-parameter families locally rigid on the spatial fiber of Anti-de Sitter Schwarzschild spacetime and one-parameter families with bifurcation points on the spatial fiber of de Sitter Schwarzschild spacetime. (AU)

FAPESP's process: 12/22490-7 - Topics in Geometric Analysis in Riemannian Manifolds
Grantee:Sandra Carolina García Martínez
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 12/11950-7 - Topics in Mathematical Relativity
Grantee:Jónatan Herrera Fernández
Support Opportunities: Scholarships in Brazil - Post-Doctoral