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.

引用

页码：541 / 549

页数：9

共 31 条

[1] Contact CR-submanifolds of an odd-dimensional unit sphere
Pak, JS
Kwon, JH
Kim, HS
Kim, YM
GEOMETRIAE DEDICATA, 2005, 114 (01) : 1 - 11
[2] Contact CR-Submanifolds of an Odd-Dimensional Unit Sphere
Jin Suk Pak
Jung-Hwan Kwon
Hyang Sook Kim
Young-Mi Kim
Geometriae Dedicata, 2005, 114 : 1 - 11
[3] Certain contact CR-submanifolds of an odd-dimensional unit sphere
Kim, Hyang Sook
Pak, Jin Suk
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 44 (01) : 109 - 116
[4] CERTAIN CLASS OF CONTACT CR-SUBMANIFOLDS OF AN ODD-DIMENSIONAL UNIT SPHERE
Kim, Hyang Sook
Pak, Jin Suk
TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (02): : 629 - 646
[5] SCALAR CURVATURE OF CONTACT THREE CR-SUBMANIFOLDS IN A UNIT (4m+3)-SPHERE
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Pak, Jin Suk
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 48 (03) : 585 - 600
[6] On Contact CR-Submanifolds of a Cosymplectic Manifold
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[7] CONTACT CR-SUBMANIFOLDS OF N(k)-CONTACT METRIC MANIFOLDS
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INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2012, 5 (02): : 79 - 84
[8] Five-Dimensional Contact CR-Submanifolds in S7(1)
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MATHEMATICS, 2020, 8 (08)
[9] Four-dimensional contact CR-submanifolds in S7(1)
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Vrancken, Luc
MATHEMATISCHE NACHRICHTEN, 2017, 290 (16) : 2585 - 2596
[10] On certain contact CR-submanifolds in S7
Djoric, Mirjana
Munteanu, Marian Ioan
GEOMETRY OF SUBMANIFOLDS, 2020, 756 : 111 - 120

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