Totally umbilical hemi-slant lightlike submanifolds

被引：0
|
作者：
Sachdeva, Rashmi [1 ]
Kumar, Rakesh [2 ]
Bhatia, Satvinder Singh [1 ]
机构：
[1] Thapar Univ, Sch Math & Comp Applicat, Patiala, Punjab, India
[2] Punjabi Univ, Dept Basic & Appl Sci, Patiala, Punjab, India
来源：
NEW YORK JOURNAL OF MATHEMATICS | 2015年 / 21卷
关键词：
Indefinite Kaehler manifolds; hemi-slant lightlike submanifolds; totally umbilical lightlike submanifolds; minimal lightlike submanifolds; MANIFOLDS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study hemi-slant lightlike submanifolds of indefinite Kaehler manifolds and prove that there do not exist totally umbilical hemi-slant lightlike submanifolds in indefinite Kaehler manifolds other than totally geodesic hemi-slant lightlike submanifolds. We consequently prove that the induced connection of a totally umbilical hemi-slant lightlike submanifold is a metric connection. We obtain a characterization theorem on the nonexistence of totally umbilical hemi-slant lightlike submanifold of an indefinite complex space form and some characterization theorems on minimal hemi-slant lightlike submanifolds.
引用
收藏
页码：191 / 203
页数：13
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