On generalized recurrent para-Kenmotsu manifolds

The object of the paper is to study generalized recurrent para-Kenmotsu manifolds. It is proved that, a generalized recurrent para-Kenmnotsu manifold is of constant curvature -1 and the Ricci soliton admitting on such a manifold is an expanding. Also, we studied conharmonically flat generalized recurrent para-Kenmotsu manifold. It is proved that a conharmonically flat generalized recurrent para-Kenmotsu manifold is an η-Einstein manifold.