LIGHTLIKE SUBMANIFOLDS OF INDEFINITE PARA-SASAKIAN MANIFOLDS

被引：0

作者：

Shukla, S. S. ^{[1
]}

Yadav, Akhilesh ^{[1
]}

机构：

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

来源：

MATEMATICKI VESNIK | 2014年 / 66卷 / 04期

关键词：

Semi-Riemannian manifold; degenerate metric; radical distribution; screen distribution; screen transversal vector bundle; Gauss and Weingarten formulae; totally geodesic and totally umbilical lightlike submanifold;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study invariant, slant and screen slant lightlike submanifolds of indefinite para-Sasakian manifolds. We obtain necessary and sufficient conditions for existence of slant and screen slant lightlike submanifolds of indefinite para-Sasakian manifolds and also provide non-trivial examples of such submanifolds. We obtain integrability conditions of distributions D and RadTM on screen slant lightlike submanifolds of indefinite para-Sasakian manifold. Further we obtain sufficient condition for induced connection on screen slant lightlike submanifolds of indefinite para-Sasakian manifold to be metric connection.

引用

页码：371 / 386

页数：16

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