Complete Linear Weingarten Spacelike Hypersurfaces Immersed in a Locally Symmetric Lorentz Space

被引：7
|
作者：
de Lima, Henrique F. [1 ]
de Lima, Joseilson R. [1 ]
机构：
[1] Univ Fed Campina Grande, Dept Matemat & Estatist, BR-58429970 Campina Grande, Paraiba, Brazil
来源：
RESULTS IN MATHEMATICS | 2013年 / 63卷 / 3-4期
关键词：
Locally symmetric Lorentz space; complete spacelike hypersurfaces; linear Weingarten hypersurfaces; totally umbilical hypersurfaces; isoparametric hypersurfaces; CONSTANT SCALAR CURVATURE; MEAN-CURVATURE; SITTER SPACE; RIGIDITY THEOREMS;
D O I：
10.1007/s00025-012-0237-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a characterization theorem concerning the complete linear Weingarten spacelike hypersurfaces immersed in a locally symmetric Lorentz space, whose sectional curvature is supposed to obey certain appropriated conditions. Under a suitable restriction on the length of the second fundamental form, we prove that a such spacelike hypersurface must be either totally umbilical or an isoparametric hypersurface with two distinct principal curvatures one of which is simple.
引用
收藏
页码：865 / 876
页数：12
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