Generalized inequalities of warped product submanifolds of nearly Kenmotsu $f$-manifolds

Abstract

In the present paper, we establish two general sharp inequalities for the squared norm of second fundamental form for mixed totally geodesic warped product pseudo-slant submanifolds o in a nearly Kenmotsu f-manifold M, which include the squared norm of the warping function and slant angle. Also, equality cases are verified. We proved that some previous results are trivial from our results. Moreover, we generalized the inequality theorems [3] and [25] from our derived results.