ON THE QUADRIC CMC SPACELIKE HYPERSURFACES IN LORENTZIAN SPACE FORMS

被引：2
|
作者：
Aquino, Cicero P. [1 ]
de Lima, Henrique F. [2 ]
dos Santos, Fabio R. [2 ]
机构：
[1] Univ Fed Piaui, Dept Matemat, BR-64049550 Teresina, Piaui, Brazil
[2] Univ Fed Campina Grande, Dept Matemat, BR-58429970 Campina Grande, Paraiba, Brazil
来源：
COLLOQUIUM MATHEMATICUM | 2016年 / 145卷 / 01期
关键词：
Lorentzian space forms; complete spacelike hypersurfaces; totally umbilical hypersurfaces; hyperbolic cylinders; constant mean curvature; support functions; CONSTANT MEAN-CURVATURE;
D O I：
10.4064/cm6442-10-2015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We deal with complete spacelike hypersurfaces immersed with constant mean curvature in a Lorentzian space form. Under the assumption that the support functions with respect to a fixed nonzero vector are linearly related, we prove that such a hypersurface must be either totally umbilical or isometric to a hyperbolic cylinder of the ambient space.
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页码：89 / 98
页数：10
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