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

Abstract

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