APPLICATION OF HOPF'S LEMMA ON CONTACT CR-WARPED PRODUCT SUBMANIFOLDS OF A NEARLY KENMOTSU MANIFOLD

In this paper we consider contact CR-warped product sub manifolds of the type M = N-T X (f) N-perpendicular to, of a nearly Kenmotsu generalized Sasakian space form M(f(1), f(2), f(3)) and by use of Hopf's Lemma we show that M is simply contact CR-product under certain condition. Finally, we establish a sharp inequality for squared norm of the second fundamental form and equality case is discussed. The results in this paper generalize existing results in the literature.