The object of the present paper is to construct an example of a three-dimensional Kenmotsu manifold with-parallel Ricci tensor. Condition for a vector field to be Killing vector field in Kenmotsu manifold is obtained.

The object of the present paper is to introduce a new type of Ricci recurrent manifold called nearly Ricci recurrent manifold . Some geometric properties of nearly Ricci recurrent manifold have been studied. Finally we give an example of nearly Ricci recurrent manifold.