On Casorati Curvatures of Submanifolds in Pointwise Kenmotsu Space Forms

Abstract

In this paper, we obtain a lower bound for the generalized normalized δ-Casorati curvatures of submanifolds in pointwise Kenmotsu space forms, generalizing two sharp inequalities recently obtained by Lee et al. (Adv. Geom. 2017(3), 355–362, 21) Moreover, we prove that this lower bound is attained at a point p if and only if p is a totally geodesic point. Some examples illustrating the main results of the paper are also given.