GENERIC WARPED PRODUCT SUBMANIFOLDS OF LOCALLY CONFORMAL KEAHLER MANIFOLDS

Warped product manifolds are known to have applications in physics.For instance,they provide an excellent setting to model space-time near a black hole or a mas-sive star(cf.9]).The studies on warped product manifolds with extrinsic geometric point of view were intensified after the B.Y.Chen's work on CR-warped product submanifolds of Kaehler manifolds(cf.6],7]).Later on,similar studies were carried out in the setting of l.c.K.manifolds and nearly Kaehler manifolds(cf.3],11]).In the present article,we investigate a larger class of warped product submanifolds of l.c.K.manifolds,ensure their existence by constructing an example of such manifolds and obtain some important properties of these submanifolds.With regard to the CR-warped product submanifold,a special case of generic warped product submanifolds,we obtain a characterization under which a CR-submanifold is reducesd to a CR-warped product submanifold.