Radical Transversal Screen Semi-Slant Lightlike Submanifolds of Indefinite Sasakian Manifolds

被引：3
|
作者：
Shukla, S. S. [1 ]
Yadav, Akhilesh [1 ]
机构：
[1] Univ Allahabad, Dept Math, Allahabad 211002, Uttar Pradesh, India
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2015年 / 36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：
10.1134/S199508021502016X
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 semi-slant lightlike submanifolds of indefinite Sasakian manifolds giving some non-trivial examples and give characterization theorem of such submanifolds. Integrability conditions of distributions D-1, D-2 and RadTM on radical transversal screen semi-slant lightlike submanifolds of indefinite Sasakian manifolds 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 radical transversal screen semi-slant lightlike submanifolds of indefinite Sasakian manifolds.
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页码：160 / 168
页数：9
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