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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 sub-manifolds in complex space forms. In this article we obtain sharp relationships between the Ricci curvature and the squared mean curvature for submanifolds in ( K , μ)-contact space forms.
Arslan et al. (Mon,) studied this question.