Warped Product Submanifolds of Kenmotsu Manifolds with Slant Fiber

Recently, we have discussed the warped product pseudo-slant submanifolds of the type M theta x(f)M(perpendicular to) of Kenmotsu manifolds. In this paper, we study other type of warped product pseudo-slant submanifolds by reversing these two factors in Kenmotsu manifolds. The existence of such warped product immersions is proved by a characterization. Also, we provide an example of warped product pseudo-slant submanifolds. Finally, we establish a sharp estimation such as parallel to h parallel to(2) >= 2p cos(2) theta (parallel to(del) over arrow(ln f)parallel to(2) - 1 for the squared norm of the second fundamental form parallel to h parallel to(2), in terms of the warping function f, where (del) over arrow (ln f) is the gradient vector of the function ln f. The equality case is also discussed.