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