Pseudo-slant lightlike submanifolds of indefinite Kaehler manifolds

Year 2020, Volume: 69 Issue: 2, 1266 - 1277, 31.12.2020

S.s. Shukla Akhilesh Yadav

https://doi.org/10.31801/cfsuasmas.446518

Abstract

In this paper, we introduce the notion of pseudo-slant lightlike submanifolds of indefinite Kaehler manifolds giving characterization theorem with some non-trivial examples of such submanifolds. Integrability conditions of distributions D₁, D₂ and RadTM on pseudo-slant lightlike submanifolds of an indefinite Kaehler 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 distribu- tion, screen distribution, screen transversal vector bundle, transversal vector bundle

Supporting Institution

This work is financial supported by the Council of Scientific and Industrial Research (C.S.I.R.), India

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