Ricci Solitons in an Kenmotsu Manifold admitting Conharmonic Curvature Tensor

Abstract

The object of the present paper is to study Ricci solitons in an (?)-Kenmotsu manifold. In this paper, some curvature conditions of conharmonic curvature tensor and pseudo-projective curvaturetensor have been studied. Under these conditions taking ? as space-like or time-like vector field, it is shown that Ricci solitons are expanding, steady or shrinking according as ? is positive, zero or negative respectively.