Generalized Slant lightlike submanifolds of indefinite Kaehler manifolds

Abstract

This paper introduces the idea of Generalized Slant (GS)-lightlike submanifolds of indefinite Kaehler manifolds, which include semi-slant, screen semi-slant and GCR-lightlike submanifolds as its sub-cases. After defining GS-lightlike submanifolds, we present non-trivial examples followed by a characterization for the existence of this class of lightlike submanifolds. The integrability conditions for various distributions associated with such lightlike submanifolds are then derived. Further, minimal GS-lightlike submanifolds of indefinite Kaehler manifolds are also discussed.