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 submanifolds of the type M=NT×fN⊥, of a nearly Kenmotsu generalized Sasakian space form M¯(f1‎,‎f2‎,‎f3) 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.