Spacelike hypersurfaces in de Sitter space

被引：2

作者：

Pang, HD ^{[1
]}

Xu, SL

Dai, S

机构：

[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

[2] Univ Sci & Technol China, Ctr Fundamental Phys, Hefei 230026, Anhui, Peoples R China

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2002年 / 42卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

spacelike hypersurface; de Sitter space; Einstein hypersurface; totally geodesic;

D O I：

10.1016/S0393-0440(01)00075-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give one intrinsic inequality for spacelike hypersurfaees in de Sitter space and a sufficient and necessary condition for such hypersurfaces to be totally geodesic. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：78 / 84

页数：7

共 7 条

[1] ON SPACELIKE HYPERSURFACES WITH CONSTANT MEAN-CURVATURE IN THE DE SITTER SPACE
AKUTAGAWA, K
[J]. MATHEMATISCHE ZEITSCHRIFT, 1987, 196 (01) : 13 - 19
[2] COMPLETE SPACE-LIKE SUBMANIFOLDS IN A DE SITTER SPACE WITH PARALLEL MEAN-CURVATURE VECTOR
CHENG, QM
[J]. MATHEMATISCHE ZEITSCHRIFT, 1991, 206 (03) : 333 - 339
[3] MAXIMAL SPACE-LIKE HYPERSURFACES IN LORENTZ-MINKOWSKI SPACES
CHENG, SY
YAU, ST
[J]. ANNALS OF MATHEMATICS, 1976, 104 (03) : 407 - 419
[4] REMARKS ON EXISTENCE OF SPACELIKE HYPERSURFACES OF CONSTANT MEAN CURVATURE
GODDARD, AJ
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1977, 82 (NOV) : 489 - 495
[5] KOBAYASHI O, 1983, TOKYO J MATH, V6, P297, DOI DOI 10.3836/TJM/1270213872
[6] AN INTEGRAL INEQUALITY FOR COMPACT SPACELIKE HYPERSURFACES IN DE-SITTER SPACE AND APPLICATIONS TO THE CASE OF CONSTANT MEAN-CURVATURE
MONTIEL, S
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1988, 37 (04) : 909 - 917
[7] COMPLETE SPACELIKE HYPERSURFACES OF CONSTANT MEAN-CURVATURE IN DESITTER SPACE
RAMANATHAN, J
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1987, 36 (02) : 349 - 359

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