On Generalized W2-Curvature Tensor of Para-Kenmotsu Manifolds

Abstract

The object of the present paper is to generalizeW2-curvature tensor of para-Kenmotsu manifold with the help of a new generalized (0,2) symmetric tensor Z introduced by Mantica and Suh . Various geometric properties of generalizedW2-curvature tensor of para-Kenmotsu manifold have been studied. It is shown that a generalized W2 -symmetric para-Kenmotsu manifold is an Einstein manifold.