Abstract

In this paper, we prove that every pointwise semi-slant warped product submanifold M = NT xf N? in a nearly Kenmotsu manifold ?M satisfies the following inequality: ||h||2 ? 2n2 (1 + 10/9 cot2?)(|| ??(lnf)||2-1), where n2 = dimN?, ??(ln f) is the gradient of ln f and ||h|| is the length of the second fundamental form of M. The equality and special cases of the inequality are investigated.

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