Spacelike hypersurfaces with constant scalar curvature

被引：12
|
作者：
Qing-Ming Cheng
Susumu Ishikawa
机构：
[1] Josai University,Department of Mathematics, Faculty of Science
[2] Saitama,Department of Mathematics
[3] Saga University,undefined
来源：
manuscripta mathematica | 1998年 / 95卷 / 1期
关键词：
53C20; 53C42; Spacelike hypersurface; scalar curvature and de Sitter space;
D O I：
10.1007/BF02678045
中图分类号：
学科分类号：
摘要：
In this paper, we shall give an integral equality by applying the operator □ introduced by S.Y. Cheng and S.T. Yau [7] to compact spacelike hypersurfaces which are immersed in de Sitter spaceS1n+1 (c) and have constant scalar curvature. By making use of this integral equality, we show that such a hypersurface with constant scalar curvaturen(n−1)r is isometric to a sphere ifr<c.
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页码：499 / 505
页数：6
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