STABILITY OF SPACELIKE HYPERSURFACES IN DE SITTER SPACE

被引：0

作者：

Zhang, Shicheng ^{[1
]}

机构：

[1] Jiangsu Normal Univ, Sch Math Sci, Xuzhou 221116, Jiangsu, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 02期

基金：

中国国家自然科学基金;

关键词：

de Sitter space; spacelike hypersurface; stability; linear Weingarten hypersurfaces; CONSTANT SCALAR CURVATURE; LINEAR WEINGARTEN HYPERSURFACES; MEAN-CURVATURE; SPHERE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页码：851 / 857

页数：7

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