Behavior of Three Dimensional para-Sasakian Manifold Under Certain Curvature Conditions

In this study, some special curvature conditions created by the W₀-curvature tensor with the Riemann, Ricci, projective, concircular curvature tensor in 3-dimensional para-Sasakian manifold are discussed. In addition, the behavior of the para-Sasakian manifold is investigated by considering the flatness, semi-symmetry, pseudo-symmetry and Ricci pseudo-symmetry properties of the W₀-curvature tensor.