Radical Transversal SCR-Lightlike Submanifolds of Indefinite Sasakian Manifolds
Abstract
In this paper, we introduce the notion of radical transversal screen
Cauchy-Riemann (SCR)-lightlike submanifolds of indenite Sasakian manifolds
giving characterization theorem with some non-trivial examples of such submanifolds. Integrability conditions of distributions D1, D2, D and D? on radical transversal SCR-lightlike submanifolds of an indenite Sasakian manifold have been obtained. Further, we obtain necessary and sucient conditions for foliations determined by above distributions to be totally geodesic.
Cauchy-Riemann (SCR)-lightlike submanifolds of indenite Sasakian manifolds
giving characterization theorem with some non-trivial examples of such submanifolds. Integrability conditions of distributions D1, D2, D and D? on radical transversal SCR-lightlike submanifolds of an indenite Sasakian manifold have been obtained. Further, we obtain necessary and sucient conditions for foliations determined by above distributions to be totally geodesic.
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