Remarks on compact spacelike hypersurfaces in de Sitter space with constant higher order mean curvature

被引：6

作者：

Alías, LJ ^{[1
]}

Koh, SE

机构：

[1] Univ Murcia, Dept Matemat, E-30100 Murcia, Spain

[2] Konkuk Univ, Dept Math, Seoul 143701, South Korea

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2001年 / 39卷 / 01期

关键词：

de Sitter space; spacelike hypersurfaces; higher order mean curvatures; Minkowski formulas;

D O I：

10.1016/S0393-0440(00)00073-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that a compact spacelike hypersurface which is contained in the chronological future (or past) of an equator of de Sitter space is a totally umbilical round sphere if one of the mean curvatures H-l dues not vanish and the ratio H-k/H-l is constant for some k, l, 1 less than or equal to 1 < k <less than or equal to> n. This extends the previous result in [J. Geom. Phys. 31 (1999) 195, Theorem 7]. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：45 / 49

页数：5

共 14 条

[1] ON SPACELIKE HYPERSURFACES WITH CONSTANT MEAN-CURVATURE IN THE DE SITTER SPACE [J].