ON THE STABILITY OF SPACELIKE HYPERSURFACES WITH HIGHER ORDER MEAN CURVATURE IN A DE SITTER SPACE

被引:0
作者
Zhang, Shicheng [1 ]
机构
[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
de Sitter space; spacelike hypersurface; stability; higher order mean curvature; CONSTANT; FORMS;
D O I
10.4134/BKMS.2014.51.5.1539
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The closed spacelike hypersurfaces with higher order mean curvature is discussed in a de Sitter space. The hypersurface is proved stable if and only if it is totally umbilical.
引用
收藏
页码:1539 / 1549
页数:11
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