Stable space-like hypersurfaces in the de Sitter space

Liu Ximin and Deng Junlei

Address.
Department of Applied Mathematics, Dalian University of Technology
Dalian 116024, P. R. China
 

E-mail.  xmliu@dlut.edu.cn

Abstract.
 In this paper, we study the stability of space-like hypersurfaces with constant scalar curvature immersed in the de Sitter spaces.

AMSclassification. 53C42, 53B30, 53C50

Keywords.  Space-like hypersurface,  stablity, scalar curvature, de Sitter space.