Radical Transversal SCR-Lightlike Submanifolds of Indefinite Sasakian Manifolds

In this paper, we introduce the notion of radical transversal screen Cauchy-Riemann (SCR)-lightlike submanifolds of indefinite Sasakian manifolds giving characterization theorem with some non-trivial examples of such submanifolds. Integrability conditions of distributions D-1, D-2, D and D-perpendicular to on radical transversal SCR-lightlike submanifolds of an indefinite Sasakian manifold have been obtained. Further, we obtain necessary and sufficient conditions for foliations determined by above distributions to be totally geodesic.

Automated summary

This paper introduces the notion of radical transversal SCR-lightlike submanifolds of indefinite Sasakian manifolds and provides a characterization theorem and non-trivial examples. Integrability conditions for distributions on these submanifolds have been obtained, along with necessary and sufficient conditions for foliations to be totally geodesic.