QUASI HEMI-SLANT SUBMANIFOLDS OF KAEHLER MANIFOLDS

被引：4

作者：

Prasad, Rajendra ^{[1
]}

Shukla, S. S. ^{[2
]}

Haseeb, Abdul ^{[3
]}

Kumar, Sumeet ^{[1
]}

机构：

[1] Univ Lucknow, Dept Math & Astron, Lucknow 226007, Uttar Pradesh, India

[2] Univ Allahabad, Dept Math, Allahabad 211002, Uttar Pradesh, India

[3] Jazan Univ, Fac Sci, Dept Math, Jazan 2097, Saudi Arabia

来源：

HONAM MATHEMATICAL JOURNAL | 2020年 / 42卷 / 04期

关键词：

Kaehler manifolds; Quasi hemi-slant submanifolds; totally geodesic; INVARIANT SUBMANIFOLDS;

D O I：

10.5831/HMJ.2020.42.4.795

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we introduce the notion of quasi hemi-slant submanifolds of almost Hermitian manifolds and give some of its examples. We obtain the necessary and sufficient conditions for the distributions to be integrable. We also investigate the necessary and sufficient conditions for these submanifolds to be totally geodesic and study the geometry of foliations determined by the distributions. Finally, we obtain the necessary and sufficient condition for a quasi hemi-slant submanifold to be local product of Riemannian manifold.

引用

页码：795 / 809

页数：15

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