On Kenmotsu Metric Spaces Satisfying Some Conditions on the W1- Curvature Tensor

Abstract

In this paper we present the curvature tensors of Kenmotsu manifold satisfying the conditions W-1(X, Y) center dot W-0 = 0, W-1(X, Y) center dot W-1 = 0, W-1(X, Y) center dot W-2 = 0, W1(X, Y) center dot W-3 = 0, W-1(X, Y) center dot W-4 = 0 and W-1(X, Y) center dot W-1(star) = 0. According to these cases, Kenmotsu manifolds have been characterized. We consider that some interesting results on a Kenmotsu metric manifold are obtained.