Certain inequalities for submanifolds in (K, mu)-contact space forms

Abstract

Chen (1999) established a sharp relationship between the Ricci curvature and the squared mean curvature for a submanifold in a Riemanian space form with arbitrary codimension. Matsumoto (to appear) dealt with similar problems for submanifolds in complex space forms. In this article we obtain sharp relationships between the Ricci curvature and the squared mean curvature for submanifolds in (k,mu)-contact space forms.