On spacelike hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces

被引：16
|
作者：
Liu, Jiancheng [1 ]
Sun, Zhongyang [1 ]
机构：
[1] NW Normal Univ, Coll Math & Informat Sci, Lanzhou 730070, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 364卷 / 01期
关键词：
Locally symmetric Lorentz space; Constant scalar curvature; Spacelike hypersurface; Second fundamental form; MEAN-CURVATURE; RIGIDITY THEOREMS;
D O I：
10.1016/j.jmaa.2009.10.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to study compact or complete spacelike hypersurfaces with constant normalized scalar curvature in a locally symmetric Lorentz space satisfying some curvature conditions. We give an optimal estimate of the squared norm of the second fundamental form of such hypersurfaces. Furthermore, the totally umbilical hypersurfaces are characterized. (C) 2009 Published by Elsevier Inc.
引用
收藏
页码：195 / 203
页数：9
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