Generalized Cauchy–Riemann screen pseudo-slant lightlike submanifǒlds of indefinite Kaehler manifǒlds

Abstract

This paper deals with the study of generalized Cauchy–Riemann screen pseudo-slant lightlike submanifolds of indefinite Kaehler manifolds giving a characterization theorem with some nontrivial examples of such submanifolds. Integrability conditions of distributions [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] on GCR screen pseudo-slant lightlike submanifolds of indefinite Kaehler manifolds have been obtained. Furthermore, we obtain necessary and sufficient conditions for foliations determined by the above distributions to be totally geodesic.