Conformal Curvature Tensor on Para-kenmotsu Manifold

摘要

The object of this paper is to obtain the characterisation of para-Kenmotsu (briefly P-Kenmotsu) manifold satisfying the conditions R(,X).C-C(,X).R= 0 and R(,X).C-C(,X).R=LcQ(g,C), where C(X,Y) is the Weyl-conformal curvature tensor, Lc is some function and X T(Mn). It is shown respectively that the P-Kenmotsu manifold with these conditions is an -Einstein manifold and the manifold is either conformally flat (or) Lc = -1 holds on the manifold.