CERTAIN CLASS OF CONTACT CR-SUBMANIFOLDS OF A SASAKIAN SPACE FORM

被引：1

作者：

Kim, Hyang Sook ^{[1
]}

Choi, Don Kwon ^{[2
]}

Pak, Jin Suk ^{[3
]}

机构：

[1] Inje Univ, Inst Basic Sci, Dept Appl Math, Kimhae 621749, South Korea

[2] Kyungpook Natl Univ, Dept Math Educ, Daegu 702701, South Korea

[3] Kyungpook Natl Univ, Daegu 702701, South Korea

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2014年 / 29卷 / 01期

关键词：

contact CR-submanifold; Sasakian space form; almost contact structure; Sasakian structure; second fundamental form;

D O I：

10.4134/CKMS.2014.29.1.131

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we investigate (n + 1)(n >= 3)-dimensional contact CR-submanifolds M of (n-1) contact CR-dimension in a complete simply connected Sasakian space form of constant phi-holomorphic sectional curvature c not equal -3which satisfy the condition h(FX, Y)+h(X, FY) = 0 for any vector fields X, Y tangent to M, where h and F denote the second fundamental form and a skew-symmetric endomorphism (defined by (2.3)) acting on tangent space of M, respectively.

引用

页码：131 / 140

页数：10

共 9 条

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Kim, Hyang Sook
Pak, Jin Suk
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (02): : 629 - 646
[6] Contact CR-submanifolds of an odd-dimensional unit sphere
Pak, JS
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[J]. GEOMETRIAE DEDICATA, 2005, 114 (01) : 1 - 11
[7] Yano K., 1985, STRUCTURES MANIFOLDS
[8] [No title captured]
[9] [No title captured]

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