SCALAR CURVATURE OF CONTACT CR-SUBMANIFOLDS IN AN ODD-DIMENSIONAL UNIT SPHERE

被引：2
|
作者：
Kim, Hyang Sook [1 ]
Pak, Jin Suk [2 ]
机构：
[1] Inje Univ, Inst Basic Sci, Sch Comp Aided Sci, Dept Computat Math, Kimhae 621749, South Korea
[2] Kyungpook Natl Univ, Dept Math Educ, Taegu 702701, South Korea
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2010年 / 47卷 / 03期
关键词：
Sasakian manifold; odd-dimensional unit sphere; contact CR-submanifold; scalar curvature;
D O I：
10.4134/BKMS.2010.47.3.541
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we derive an integral formula on an (n + 1)dimensional, compact, minimal contact CR-submanifold M of (n - 1) contact CR-dimension immersed in a unit (2m+1)-sphere S(2m+1). Using this integral formula, we give a sufficient condition concerning with the scalar curvature of M in order that such a submanifold M is to be a generalized Clifford torus.
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页码：541 / 549
页数：9
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