Certain Results on Lorentzian Para-Kenmotsu Manifolds

The object of the present paper is to study Lorentzian para-Kenmotsu manifolds with respect to the quarter-symmetric metric connection. First, we study Lorentzian para-Kenmotsu manifolds with respect to the quarter-symmetric metric connection satisfying the curvature conditions (R) over bar.(S) over bar = 0 and (S) over bar.(R) over bar = 0. Next, we study phi-conformally flat, phi-conharmonically flat, phi-concircularly flat, phi-projectively flat and conformally flat Lorentzian para-Kenmotsu manifolds with respect to the quarter-symmetric metric connection and it is shown that in each of these cases the manifold is a generalized eta-Einstein manifold.