CR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER PRODUCT MANIFOLDS

摘要

In this article we investigate the geometry of CR-lightlike submanifolds in an indefinite Kaehler product manifold. In particular, we obtain the necessary and sufficient conditions for a CR-lightlike submanifold in an indefinite Kaehler product manifold to be either CR-lightlike product, or D-geodesic, or D'-geodesic. We also study totally umbilical and curvature-invariant CR-lightlike submanifolds in M_l(c_l) × M_2(c_2).