Linear Weingarten spacelike submanifolds in de Sitter space

被引：0
|
作者：
Yang, Dan [1 ]
Hou, Zhonghua [2 ]
机构：
[1] Shenyang Univ, Coll Sci, Shenyang 110044, Peoples R China
[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
JOURNAL OF GEOMETRY | 2012年 / 103卷 / 01期
关键词：
Spacelike submanifolds; linear weingarten submanifolds; totally umbilical submanifolds; mean curvature vector;
D O I：
10.1007/s00022-012-0110-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let M-n be a spacelike linear Weingarten submanifold in a de Sitter space S-p(n+p) (1) with R = aH + b, where R and H are the normalized scalar curvature and the length of the mean curvature vector respectively. In this paper, we give intrinsic and extrinsic conditions for M-n to be totally umbilical, respectively.
引用
收藏
页码：177 / 190
页数：14
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