CERTAIN CLASS OF CONTACT CR-SUBMANIFOLDS OF AN ODD-DIMENSIONAL UNIT SPHERE

被引：3

作者：

Kim, Hyang Sook ^{[1
]}

Pak, Jin Suk ^{[2
]}

机构：

[1] Inje Univ, Dept Computat Math, Sch Comp Aided Sci, Inst Basic Sci, Kimhae 621749, South Korea

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

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2010年 / 14卷 / 02期

关键词：

Contact CR-submanifold; Odd-dimensional unit sphere; Sasakian structure; Second fundamental form;

D O I：

10.11650/twjm/1500405810

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 >= 5)-dimensional contact CR-submanifolds M of (n - 1) contact CR-dimension in a (2, + 1)-dimensional unit sphere S(2m+1) which satisfy the condition h(FX,Y) - h(X, FY) = g(FX, Y)zeta for a normal vector field zeta 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：629 / 646

页数：18

共 10 条

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[4] Erbacher J., 1971, J DIFFERENTIAL GEOME, V5, P333
[5] Certain contact CR-submanifolds of an odd-dimensional unit sphere
Kim, Hyang Sook
Pak, Jin Suk
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 44 (01) : 109 - 116
[6] NAKAGAWA H, 1973, KODAI MATH SEM REP, V25, P225
[7] Contact CR-submanifolds of an odd-dimensional unit sphere
Pak, JS
Kwon, JH
Kim, HS
Kim, YM
[J]. GEOMETRIAE DEDICATA, 2005, 114 (01) : 1 - 11
[8] TAGAKI R, 1976, J DIFFER GEOM, V11, P225
[9] Yano K., 1983, CR SUBMANIFOLDS KAEH
[10] [No title captured]

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