Warped products in real space forms

被引：14

作者：

Chen, BY ^{[1
]}

机构：

[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2004年 / 34卷 / 02期

关键词：

warped products; real space forms; inequality; rotation hypersurface; warping function; squared mean curvature;

D O I：

10.1216/rmjm/1181069867

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a general inequality in terms of scalar curvature, the warping function, and the squared mean curvature for warped products isometrically immersed in real space forms. We also determine the warped products in real space forms which satisfy the equality case of the inequality.

引用

页码：551 / 563

页数：13

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