ON COMPLETE SPACELIKE SUBMANIFOLDS IN SEMI-RIEMANNIAN SPACE FORMS WITH PARALLEL NORMALIZED MEAN CURVATURE VECTOR

被引：16

作者：

Chao, Xiaoli ^{[1
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

来源：

KODAI MATHEMATICAL JOURNAL | 2011年 / 34卷 / 01期

关键词：

complete spacelike submanifold; semi-Riemannian space form; parallel normalized mean curvature vector; CONSTANT SCALAR CURVATURE; RIGIDITY THEOREMS; SITTER SPACE; HYPERSURFACES;

D O I：

10.2996/kmj/1301576760

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by modifying Cheng-Yau's technique to complete spacelike submanifolds in Q(p)(n+p)(c), we prove a rigidity theorem for complete spacelike submanifolds in the de Sitter space with parallel normalized mean curvature vector. As a corollary, we have the Corollary 1.1 of [7].

引用

页码：42 / 54

页数：13

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