On the geometry of linear Weingarten spacelike hypersurfaces in the de Sitter space

被引：10
|
作者：
de Lima, Henrique F. [1 ]
Velasquez, Marco A. L. [1 ]
机构：
[1] Univ Fed Campina Grande, Dept Matemat & Estat, BR-58429970 Campina Grande, PB, Brazil
来源：
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2013年 / 44卷 / 01期
关键词：
de Sitter space; spacelike hypersurfaces; linear Weingarten hypersurfaces; totally umbilical hypersurfaces; hyperbolic cylinder; CONSTANT SCALAR CURVATURE; MEAN-CURVATURE;
D O I：
10.1007/s00574-013-0003-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Our purpose is to study the geometry of linear Weingarten spacelike hypersurfaces immersed in the de Sitter space . In this setting, by using as main analytical tool a suitable maximum principle for complete noncompact Riemannian manifolds, we establish new characterizations of the hyperbolic cylinders of . In the compact case, we obtain a rigidity result concerning to a such hypersurface according to the length of its second fundamental form.
引用
收藏
页码：49 / 65
页数：17
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