A NOTE ON KENMOTSU MANIFOLDS ADMITTING GENERALIZED TANAKA-WEBSTER CONNECTION

Abstract

In the present paper, we investigate some tensor conditions of Kenmotsu manifolds with the generalized Tanaka-Webster connection. Using the Q tensor whose trace is the well-known Z-tensor, we prove the conditions ξ − Q∗ flat, ϕ − Q∗ flat Kenmotsu manifold with respect to the generalized Tanaka-Webster connection.