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 is conformally flat if and only if it is locally isometric to a pseudo hyperbolic space $H_v^n(1)$ or to a pseudo sphere $S_v^n(1)$.