Abstract
delta-Lorentzian trans-Sasakian manifolds with a semi-symmetric-metric connection have been studied. Expressions for curvature tensors, Ricci curvature tensors and scalar curvature of the delta-Lorentzian trans-Sasakian manifold with a semi-symmetric-metric connection have been obtained. Also, some results on quasi-projectively flat and phi-projectively flat manifolds endowed with a semi-symmetric-metric connection have been discussed. It is shown that the manifold satisfying (R) over bar.(S) over bar = 0, (P) over bar.(S) over bar = 0 is an eta-Einstein manifold. Lastly, we obtain the conditions for the delta-Lorentzian trans-Sasakian manifold with a semi-symmetric-metric connection to be conformally flat and xi-conformally flat.