Study of W_8-curvature tensor on Kenmotsu manifold admitting (G.T.W.C.) Generalized Tanaka webster connection

Abstract

This paper deals with geometric components related to a group of curvature tensors in the Kenmotsu manifold admitting G.T.W.C are studied. We show that W_8curvature tensor concerning G.T.W.C is both a flat and an Einstein manifold. Further, we establish a relationship between β-W_8,Q.W_8=0,μ.W_8, special η -Einstein and η -Einstein manifolds.