RADICAL TRANSVERSAL SCR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS

被引：1

作者：

Yadav, Akhilesh ^{[1
]}

机构：

[1] Banaras Hindu Univ, Dept Math, Inst Sci, Varanasi 221005, Uttar Pradesh, India

来源：

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2019年 / 34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; CR-SUBMANIFOLDS;

D O I：

10.22190/FUMI1902275Y

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 radical transversal screen Cauchy-Riemann (SCR)-lightlike submanifolds of indefinite Kaehler manifolds giving a characterization theorem with some non-trivial examples of such submanifolds. Integrability conditions of distributions D-1, D-2, D and D-perpendicular to on radical transversal SCR-lightlike submanifolds of an indefinite Kaehler manifold have been obtained. Further, we obtain necessary and sufficient conditions for foliations determined by the above distributions to be totally geodesic.

引用

页码：275 / 287

页数：13

共 15 条

[1] INDEFINITE KAHLER-MANIFOLDS [J].