Stable space-like hypersurfaces in the de Sitter space

Liu Ximin and Deng Junlei

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


 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.