Screen Pseudo-Slant Lightlike Submanifolds of Indefinite Sasakian Manifolds

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作者
S. S. Shukla
Akhilesh Yadav
机构
[1] University of Allahabad,Department of Mathematics
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关键词
Semi-Riemannian manifold; degenerate metric; radical distribution; screen distribution; screen transversal vector bundle; lightlike transversal vector bundle; Gauss and Weingarten formulae; 53C15; 53C40; 53C50;
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摘要
In this paper, we introduce the notion of screen pseudo-slant lightlike submanifolds of indefinite Sasakian manifolds giving characterization theorem with some non-trivial examples of such submanifolds. Integrability conditions of distributions D1, D2 and RadTM on screen pseudo-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 screen pseudo-slant lightlike submanifolds of indefinite Sasakian manifolds.
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页码:789 / 802
页数:13
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