Semi-Slant Lightlike Submanifolds of Indefinite Sasakian Manifolds

被引：5
|
作者：
Shukla, Shiv Sharma [1 ]
Yadav, Akhilesh [1 ]
机构：
[1] Univ Allahabad, Dept Math, Allahabad 211002, Uttar Pradesh, India
来源：
KYUNGPOOK MATHEMATICAL JOURNAL | 2016年 / 56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：
10.5666/KMJ.2016.56.2.625
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 semi-slant lightlike submanifolds of indefinite Sasakian manifolds giving characterization theorem with some non-trivial examples of such submanifolds. Integrability conditions of distributions D-1, D-2 and RadT M on semi-slant lightlike submanifolds of an indefinite Sasakian manifold have been obtained. We also obtain necessary and sufficient conditions for foliations determined by above distributions to be totally geodesic.
引用
收藏
页码：625 / 638
页数：14
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