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

Authors :: Rosa Maria dos Santos Barreiro Chaves
L.A.M. Sousa
F.E.C. Camargo
Source :: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual), Universidade de São Paulo (USP), instacron:USP
Publication Year :: 2008
Publisher :: Elsevier BV, 2008.
Abstract: 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 n c ⩽ R ⩽ c totally umbilical?

Subjects :: Complete spacelike hypersurfaces
Constant scalar curvature
De Sitter space
Prescribed scalar curvature problem
Mathematical analysis
Curvature
General Relativity and Quantum Cosmology
Hypersurface
Computational Theory and Mathematics
GEOMETRIA DIFERENCIAL
Mathematics::Differential Geometry
Anti-de Sitter space
Geometry and Topology
Constant (mathematics)
de Sitter invariant special relativity
Analysis
Scalar curvature
Mathematical physics
Mathematics

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