Curvature Tensors on Semi-riemannian and Generalized Sasakian Space Forms Admitting Semi-symmetric Metric Connection

Abstract

The study deals with curvature tensors on Semi-Riemannian and Gener-alized Sasakian space forms admitting semi-symmetric metric connection. More specifically, the study shall be to investigate the geometry of Semi-Riemannian and generalized Sasakian space forms, when they are 8W flat, 8W symmetric,  8W semisymmetric and  8W Recurrent and compared to results of projectively semi- symmetric, Weyl semi- symmetric and concircularly semi-symmetric on these spaces. Further, the conditions that admit a second order parallel symmetric tensor on functions of such spaces, shall be studied.