Quasi-bi-slant lightlike submanifolds of indefinite Kaehler manifolds

Abstract

In this paper, we introduce the notion of quasi-bi-slant lightlike submanifolds of indefinite Kaehler manifolds providing some non-trivial examples. Integrability conditions of distributions associated with definition of such submanifolds have been obtained. Furthermore, some necessary and sufficient conditions for foliations determined by the above distributions to be totally geodesic have been investigated. Finally, we obtain some characterization results for totally umbilical and minimal quasi-bi-slant lightlike submanifolds of indefinite Kaehler manifolds.