Hyper-Generalized Weakly Symmetric Para-Sasakian Manifolds and Their Geometric Properties

This paper examines para-Sasakian manifolds that satisfy a hyper-generalized weakly symmetric curvature condition. The conditions under which such a manifold with a hyper-generalized weakly symmetric curvature condition satisfies the η-Einstein manifold are established. Furthermore, the geometric behavior of a hyper-generalized weakly symmetric para-Sasakian manifold admitting quarter-symmetric metric connection is analyzed.