de Sitter空间中常曲率的类空超曲面

de Sitter空间中常曲率的类空超曲面

汪悦

浙江大学数学系，杭州 310028

收稿日期:2004-02-17 修回日期:1900-01-01 出版日期:2004-10-26 发布日期:2004-10-26
通讯作者: 汪悦

Space-like hypersurfaces with constant scalar curvatu rein de Sitter spaces

WANG Yue

Department of Mathematics, Zhejiang University, Hangzhou 310028, China

Received:2004-02-17 Revised:1900-01-01 Online:2004-10-26 Published:2004-10-26
Contact: WANG Yue

摘要/Abstract

摘要： 研究de Sitter空间中具有常数量曲率的类空超曲面，将Cheng-Yau的自共轭算子□作用在对称张量T上, 得到了这类超曲面关于第二基本形式模长平方的一个拼挤定理，加强了已有的相应结果。

关键词: deSitter空间, 类空超曲面, 数量曲率

Abstract: The space-like hypersurfaces with constant scalar curvature in a de Sitter space were studied and a pinching theorem on the square of the norm of the second fundamental form was obtained. This theorem has improved the results obtained by LI Hai-zhong who firstly studied the rigidity problem for a hypersurface with constant scalar curvature by introducing a self-adjoint second order differential operator.

Key words: de Sitter space, space-like hypersurface, scalar curva ture

中图分类号:

O186.16

汪悦. de Sitter空间中常曲率的类空超曲面[J]. J4, 2004, 42(04): 494-498.

WANG Yue. Space-like hypersurfaces with constant scalar curvatu rein de Sitter spaces[J]. J4, 2004, 42(04): 494-498.

[1]	朱静勇, 宋卫东. 四元数射影空间中常数量曲率的完备全实伪脐子流形[J]. J4, 2011, 49(05): 865-869.
[2]	华义平, 宋卫东. 局部对称黎曼流形中某类超曲面的刚性定理[J]. J4, 2009, 47(6): 1125-1129.