LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS WITH QUARTER SYMMETRIC NON-METRIC CONNECTION

Abstract

In this paper, we study lightlike submanifolds of indefinite Kaehlermanifolds. We introduce a class of lightlike submanifold called semi-invariantlightlike submanifold.We consider lightlike submanifold with respect to aquarter-symmetric non metric connection which is determined by the complexstructure. We give some equivalent conditions for integrability of distributionswith respect to the Levi-Civita connection of semi-Riemannian manifold andthe quarter symmetric non metric connection and some results