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 W1(X.Y )W0 = 0, W1(X,Y )W1 = 0, W1(X, Y ) W2 =0,
W1(X, Y ) W3 = 0, W1(X,Y ) W4 = 0 and W1(X; Y ) W*1= 0. According these
W? 1 cases, Kenmotsu manifolds have been characterized. We think that some interesting results on a Kenmotsu metric manifold are obtained.