On the conharmonic curvature tensor of Kenmotsu manifolds with generalized Tanaka-Webster connection

In this paper, we study a generalized Tanaka-Webster connection on a Kenmotsu manifold. We study the conharmonic curvature tensor with respect to the generalized Tanaka-Webster connection ∇ and also characterize conharmonically flat and locally ϕ-conharmonically symmetric Kenmotsu manifold with respect to the connection ∇. Besides these we also classify Kenmotsu manifolds which satisfy K · R = 0 and P · K = 0, where K and P are the conharmonic curvature tensor, the projective curvature tensor and Riemannian curvature tensor, respectively with respect to the connection ∇.