QUASI BI-SLANT SUBMANIFOLDS OF NEARLY KAEHLER MANIFOLDS

被引：0
|
作者：
Prasad, Rajendra [1 ]
Singh, Shweta [1 ]
机构：
[1] Univ Lucknow, Dept Math & Astron, Lucknow 226007, Uttar Pradesh, India
来源：
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS | 2022年 / 15卷 / 4B期
关键词：
Nearly Kaehler manifolds; Quasi bi-slant submanifold; Totally geodesic submanifolds; Totally umbilical submanifolds;
D O I：
10.47013/15.4.20
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the notion of quasi bi-slant submanifolds of nearly Kaehler manifolds and study some of thier properties. The necessary and sufficient conditions for the integrability of distributions, involved in the definition of quasi bi-slant submanifolds of nearly Kaehler manifolds, are obtained. We also investigate the necessary and sufficient conditions for quasi bi-slant submanifolds of nearly Kaehler manifolds to be totally geodesic, and we study the geometry of foliations. Finally, we construct some non-trivial examples of quasi bi-slant manifolds of nearly Kaehler manifolds.
引用
收藏
页码：1093 / 1110
页数：18
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