Ricci tensor of slant submanifolds in complex space forms

B. -Y. Chen established a sharp relationship between the Ricci curvature and the squared mean curvature for a submanifold in a Riemannian space form with arbitrary codimension. The Lagrangian version of this inequality was proved by the same author. In this article, we obtain a sharp estimate of the Ricci tensor of a slant submanifold M in a complex space form M (4c), in terms of the main extrinsic invariant, namely the squared mean curvature. If, in particular, M is a Kaehlerian slant submanifold which satisfies the equality case identically, then it is minimal.