Pseudo-slant lightlike submanifolds of indefinite Kaehler manifolds

Authors : Ss SHUKLA, Akhilesh YADAV

Pages : 1266-1277

Doi:10.31801/cfsuasmas.446518

View : 10 | Download : 13

Publication Date : 2020-12-31

Article Type : Research Paper

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