On conformal curvature tensor of (ϵ)-para Sasakian manifolds

Abstract

In this article, we study (ϵ)-para Sasakian manifolds with conformal curvature tensor. In this context, we consider conformally flat, quasi-conformally flat and quasi-conformally semi-symmetric (ϵ)-para Sasakian manifolds. It is proved that (ϵ)-para Sasakian manifold Mn(n>3) is conformally flat if and only if it is locally isometric to a pseudo hyperbolic space Hvn(1) or to a pseudo sphere Svn(1).