On the complete spacelike hypersurfaces immersed with two distinct principal curvatures in a locally symmetric Lorentz space

被引：3

作者：

de Lima, Henrique F. ^{[1
]}

dos Santos, Fabio R. ^{[1
]}

Gomes, Jose N. ^{[2
]}

Velasquez, Marco Antonio L. ^{[1
]}

机构：

[1] Univ Fed Campina Grande, Dept Matemat, BR-58429970 Campina Grande, Paraiba, Brazil

[2] Univ Fed Amazonas, Dept Matemat, BR-69077070 Manaus, Amazonas, Brazil

来源：

COLLECTANEA MATHEMATICA | 2016年 / 67卷 / 03期

关键词：

Locally symmetric Lorentz spaces; Einstein spacetimes; Complete linear Weingarten spacelike hypersurfaces; Isoparametric hypersurfaces; CONSTANT MEAN-CURVATURE; DE-SITTER SPACE; MAXIMAL SPACE; GEOMETRY; MANIFOLDS;

D O I：

10.1007/s13348-015-0145-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our purpose in this paper is to study the geometry of complete linear Weingarten spacelike hypersurfaces immersed with two distinct principal curvatures in a locally symmetric Lorentz space, which is supposed to obey standard curvature constrains. In this setting, we apply some appropriated generalized maximum principles to a suitable Cheng-Yau modified operator in order to guarantee that such a spacelike hypersurface must be isometric to an isoparametric hypersurface of the ambient space.

引用

页码：379 / 397

页数：19

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