Radical transversal screen pseudo-slant lightlike submanifolds of indefinite Kaehler manifolds

Abstract

In this paper, we introduce the notion of radical transversal screen pseudo-slant lightlike submanifolds of indefinite Kaehler manifolds giving characterization theorem with some non-trivial examples of such submanifolds. Integrability conditions of distributions $D_1$, $D_2$ and $RadTM$ on radical transversal screen pseudo-slant lightlike submanifolds of an indefinite Kaehler manifold have been obtained. Further, we obtain necessary and sufficient conditions for foliations determined by above distributions to be totally geodesic. We also study mixed geodesic radical transversal screen pseudo-slant lightlike submanifolds of indefinite Kaehler manifolds.