CR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE PARA- SASAKIAN MANIFOLD

The purpose of this paper is to study a totally contact umbilical contact CR-lightlike submanifolds of an indefinite para-Sasakian manifold. In this paper, we prove that a totally contact umbilical CR-lightlike submanifold is totally contact geodesic. Further, we obtain a necessary and sufficient condition for a CR-lightlike submanifold to be anti-invariant submanifold. Finally, we obtain the integrability condition of distributions and also characterize a contact CR-lightlike submanifold of indefinite para-Sasakian manifold to be a contact CR-lightlike product