Stability of spacelike hypersurfaces in de Sitter space

Zhang, Shicheng

doi:10.1090/S0002-9939-2014-12276-3

Stability of spacelike hypersurfaces in de Sitter space
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Proc. Amer. Math. Soc. 143 (2015), 851-857 Request permission

Abstract:

This paper discusses compact linear Weingarten space-like hypersurfaces in a de Sitter space We prove that a compact linear Weingarten space-like hypersurface in a de Sitter space is stable if and only if it is totally umbilical.

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