A General Inequality for Pointwise Semi-Slant Warped Products in Nearly Kenmotsu Manifolds

In this paper, we prove that every pointwise semi-slant warped product submanifold M = N-T X-f N-theta in a nearly Kenmotsu manifold (M) over tilde satisfies the following inequality: parallel to h parallel to(2) >= 2n(2) (1 + 10/9 cot(2) theta) (parallel to(del) over cap (ln f)parallel to(2) - 1) , where n(2) = dim N-theta, (del) over cap (In f) is the gradient of In f and parallel to h parallel to is the length of the second fundamental form of M. The equality and special cases of the inequality are investigated.