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In this paper we study certain curvature properties of Lorentzian Para-Sasakian manifold (shortly, LPSM) with respect to the generalized symmetric metric connection. Here we discuss ξ -concircularly, ξ -conformally and ξ projectively flat LPSM with respect to the generalized symmetric metric connection and obtain various interesting results. Moreover, we study LPSM with Z̃(ξ ,V ).S̃ = 0, where Z̃ and S̃ are the concircular curvature tensor and Ricci tensor respectively with respect to the generalized symmetric metric connection.

On LP-Sasakian manifold admitting a generalized symmetric metric connection