RADICAL TRANSVERSAL SCR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS

Akhilesh Yadav

DOI Number
https://doi.org/10.22190/FUMI1902275Y
First page
275
Last page
287

Abstract


In this paper, we introduce the notion of radical transversal screen Cauchy-
Riemann (SCR)-lightlike submanifolds of indefinite Kaehler manifolds giving a charac-
terization theorem with some non-trivial examples of such submanifolds. Integrability
conditions of distributions D1, D2, D and D? on radical transversal SCR-lightlike sub-
manifolds of an indefinite Kaehler manifold have been obtained. Further, we obtain
necessary and sufficient conditions for foliations determined by the 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.

Keywords


Semi-Riemannian manifold, degenerate metric, radical distribu- tion, screen distribution, screen transversal vector bundle, lightlike transversal vector bundle, Gauss and Weingarten formulae.

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DOI: https://doi.org/10.22190/FUMI1902275Y

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