Spacelike hypersurfaces in anti-de Sitter space

被引：1
|
作者：
Zhu, Yecheng [1 ]
Hu, Wenming [1 ]
机构：
[1] Anhui Univ Technol, Dept Appl Math, Maanshan 243002, Anhui, Peoples R China
来源：
ADVANCES IN GEOMETRY | 2014年 / 14卷 / 03期
关键词：
Spacelike hypersurfaces; anti-de Sitter space; second fundamental form; fundamental group; mean curvature; CONSTANT; CURVATURE;
D O I：
10.1515/advgeom-2013-0036
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study closed spacelike hypersurfaces in anti-de Sitter space. Using the Bonnet-Myers theorem, we obtain a rigidity theorem for spacelike hypersurfaces without the constancy condition on the mean curvature or the scalar curvature.
引用
收藏
页码：513 / 522
页数：10
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