On the mean curvature of spacelike submanifolds in semi-Riemannian manifolds

被引:4
|
作者
Wu, BingYe [1 ]
机构
[1] Minjiang Univ, Dept Math, Fujian 350108, Peoples R China
关键词
spacetime; semi-Riemannian space form; Lorentzian distance; mean curvature;
D O I
10.1016/j.geomphys.2005.10.008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we establish some estimates for the higher-order mean curvature of a complete spacelike hypersurface in spacetimes with sectional curvature satisfying certain condition. We also obtain the estimate for the mean curvature of a complete spacelike submanifold in semi-Riemannian space forms. (c) 2005 Elsevier B.V. All rights reserved.
引用
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页码:1728 / 1735
页数:8
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