Rigidity theorems for complete spacelike hypersurfaces with constant scalar curvature in De Sitter space


Autoria(s): CAMARGO, F. E. C.; CHAVES, R. M. B.; SOUSA JR., L. A. M.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2008

Resumo

In this paper we give a partially affirmative answer to the following question posed by Haizhong Li: is a complete spacelike hypersurface in De Sitter space S(1)(n+1)(c), n >= 3, with constant normalized scalar curvature R satisfying n-2/nc <= R <= c totally umbilical? (C) 2008 Elsevier B.V. All rights reserved.

Identificador

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, v.26, n.6, p.592-599, 2008

0926-2245

http://producao.usp.br/handle/BDPI/30619

10.1016/j.difgeo.2008.04.020

http://dx.doi.org/10.1016/j.difgeo.2008.04.020

Idioma(s)

eng

Publicador

ELSEVIER SCIENCE BV

Relação

Differential Geometry and Its Applications

Direitos

restrictedAccess

Copyright ELSEVIER SCIENCE BV

Palavras-Chave #De Sitter space #Complete spacelike hypersurfaces #Constant scalar curvature #MEAN-CURVATURE #MANIFOLDS #Mathematics, Applied #Mathematics
Tipo

article

original article

publishedVersion