Ricci Curvature of Certain Submanifolds in Kenmotsu Space Forms

Abstract

In this paper, we obtain some sharp inequalities between the Ricci curvature and the squared mean curvature for bi-slant and semi-slant submanifolds in Kenmotsu space forms. Estimates of the scalar curvature and the $k$-Ricci curvature, in terms of the squared mean curvature, are also proved respectively.