Certain contact CR-submanifolds of an odd-dimensional unit sphere

被引:8
作者
Kim, Hyang Sook [1 ,2 ]
Pak, Jin Suk [3 ]
机构
[1] Coll Nat Sci, Dept Computat Math, Sch Comp Aided Sci, Kimhae 621749, South Korea
[2] Coll Nat Sci, Inst Math Sci, Kimhae 621749, South Korea
[3] Kyungpook Natl Univ, Dept Math Educ, Taegu 702701, South Korea
关键词
odd-dimensional unit sphere; contact CR-submanifold; Sasakian structure; almost contact structure;
D O I
10.4134/BKMS.2007.44.1.109
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study an (n+1)(n >= 3)-dimensional contact CR-submanifold of (n-1) contact CR-dimension in a (2m+1)-unit sphere S2m+1, and to determine such submanifolds under conditions concerning the second fundamental form and the induced almost contact structure.
引用
收藏
页码:109 / 116
页数:8
相关论文
共 8 条
[1]  
BEJANCU A, 1986, GEOMETRY C R SUBMANI
[2]  
Chen B. Y., 1973, GEOMETRY SUBMANIFOLD
[3]  
ERBACHER J, 1971, J DIFFER GEOM, V5
[4]  
Kon M., 1978, Ann. Fac. Sci. Kinshasa, V4, P1
[5]   Contact CR-submanifolds of an odd-dimensional unit sphere [J].
Pak, JS ;
Kwon, JH ;
Kim, HS ;
Kim, YM .
GEOMETRIAE DEDICATA, 2005, 114 (01) :1-11
[6]  
Ryan PJ., 1969, TOHOKU MATH J, V21, P363, DOI [10.2748/tmj/1178242949, DOI 10.2748/TMJ/1178242949]
[7]  
Yano K., 1983, Progress in Mathematics, V30
[8]  
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