On a quarter-symmetric non-metric connection in an epsilon-Lorentzian para-sasakian manifold

Abstract

In this paper, we consider a quarter-symmetric metric connectionin an \epsilon-Lorentzian para-Sasakian manifold. We investigate the curvature tensor and the Ricci tensor of an \epsilon-Lorentzian para-Sasakian manifold with a quartersymmetric metric connection. Also we have shown that \epsilon-Lorentzian para-Sasakian manifolds with a quarter-symmetric metric connection are η-Einstein manifolds if they are conformally flat, quasi conformally flat and ξ-conformally flat.