Rigidity theorem for complete spacelike hypersurfaces with constant scalar curvature in Lorentz spaces

被引：0
|
作者：
Shicheng Zhang
机构：
[1] Xuzhou Normal University,School of Mathematics
来源：
Israel Journal of Mathematics | 2012年 / 189卷
关键词：
Scalar Curvature; Sectional Curvature; Lorentz Space; Isometric Immersion; Lorentzian Manifold;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a complete space-like hypersurface with constant normal scalar curvature in a locally symmetric Lorentz space is discussed. The rigidity theorem is proved by using the operator □ introduced by S. Y. Cheng and S. T. Yau, and the result is a partially affirmative answer to the question posed by Haizhong Li in 1997.
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页码：177 / 188
页数：11
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