Screen Semi-Slant Lightlike Submanifolds of Indefinite Kaehler Manifolds

被引：0

作者：

Shukla, Shiv Sharma ^{[1
]}

Yadav, Akhilesh ^{[2
]}

机构：

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

[2] Banaras Hindu Univ, Dept Math, Varanasi 221005, Uttar Pradesh, India

来源：

THAI JOURNAL OF MATHEMATICS | 2021年 / 19卷 / 02期

关键词：

semi-Riemannian manifold; degenerate metric; radical distribution; screen distribution; screen transversal vector bundle; lightlike transversal vector bundle; Gauss and Weingarten formulae;

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 introduce the notion of screen semi-slant lightlike submanifolds of indefinite Kaehler manifolds giving characterization theorem with some non-trivial examples of such submanifolds. Integrability conditions of distributions D-1, D-2 and RadTM on screen semi-slant lightlike submanifolds of an indefinite Kaehler manifold have been obtained. Further we obtain necessary and sufficient conditions for foliations determined by above distributions to be totally geodesic. We also study mixed geodesic screen semi-slant lightlike submanifolds of indefinite Kaehler manifolds.

引用

页码：421 / 430

页数：10