Pseudo-slant lightlike submanifolds of indefinite Kaehler manifolds

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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