On the umbilicity of complete linear Weingarten spacelike hypersurfaces immersed in a locally symmetric Lorentz space

被引：3
|
作者：
de Lima H.F. [1 ]
dos Santos F.R. [1 ]
Velásquez M.A.L. [1 ]
机构：
[1] Departamento de Matemática, Universidade Federal de Campina Grande, Campina Grande, 58.429-970, Paraíba
来源：
São Paulo Journal of Mathematical Sciences | 2017年 / 11卷 / 2期
关键词：
Complete linear Weingarten spacelike hypersurfaces; Einstein spacetimes; Locally symmetric Lorentz spaces; Mean curvature; Scalar curvature; Totally umbilical hypersurfaces; Traceless operator;
D O I：
10.1007/s40863-017-0075-7
中图分类号：
学科分类号：
摘要：
In this paper, we study complete linear Weingarten spacelike hypersurfaces immersed in a locally symmetric Lorentz space. By applying some generalized maximum principles to a suitable Cheng–Yau modified operator, we establish sufficient conditions which assure that such a spacelike hypersurface must be a totally umbilical hypersurface of the ambient space. © 2017, Instituto de Matemática e Estatística da Universidade de São Paulo.
引用
收藏
页码：456 / 470
页数：14
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