GENERALIZED CAUCHY-RIEMANN SCREEN PSEUDO-SLANT LIGHTLIKE SUBMANIFOLDS OF INDEFINITE SASAKIAN MANIFOLDS

Abstract

This paper deals with the study of generalized Cauchy-Riemann (in short, GCR) screen pseudo-slant lightlike submanifolds of indefinite Sasakian manifolds giving a characterization theorem with some non-trivial examples of such submanifolds. Integrability conditions of distributions D1, D2, D′1 and D′2 on GCR screen pseudo-slant lightlike submanifolds of indefinite Sasakian manifolds have been obtained. Furthermore, we obtain necessary and sufficient conditions for foliations determined by the above distributions to be totally geodesic

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