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.

引用

页码：89 / 98

页数：10

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