Abstract
Recently, Arslan et al. [K. Arslan, R. Ezentas, I. Mihai, C. Murathan, J. Korean Math. Soc., 42 (2005), 1101-1110] studied contact CR-warped product submanifolds of the form M-T x (f) M-perpendicular to of a Kenmotsu manifold (M) over tilde, where M-T and M-perpendicular to are invariant and anti-invariant submanifolds of (M) over tilde, respectively. In this paper, we study the warped product submanifolds by reversing these two factors, i.e., the warped products of the form M-perpendicular to x (f) M-T which have not been considered in earlier studies. On the existence of such warped products, a characterization is given. A sharp estimation for the squared norm of the second fundamental form is obtained, and in the statement of inequality, the equality case is considered. Finally, we provide two examples of non-trivial warped product submanifolds. (C) 2017 All rights reserved.