[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2016.56.2.625

Semi-Slant Lightlike Submanifolds of Indefinite Sasakian Manifolds

Shukla, Shiv Sharma (Department of Mathematics, University of Allahabad)
Yadav, Akhilesh (Department of Mathematics, University of Allahabad)

Publication Information

Kyungpook Mathematical Journal / v.56, no.2, 2016 , pp. 625-638 More about this Journal

Abstract

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 RadTM 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.

Keywords

Semi-Riemannian manifold; degenerate metric; radical distribution; screen distribution; screen transversal vector bundle; lightlike transversal vector bundle; Gauss and Weingarten formulae;

Citations & Related Records

Reference

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