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.
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页码：625 / 638
页数：14
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