On para-Sasakian manifolds admitting semi-symmetric metric connection (Q2815250)

The author study a para-Sasakian manifold admitting a semi-symmetric metric connection whose projective curvature tensor satisfies certain curvature conditions. In Section 3, the author establishes a relation between the Levi-Civita connection and the semi-symmetric metric connection of a P-Sasakian manifold. A P-Sasakian manifold whose curvature tensor is covariant constant with respect to the semi-symmetric metric connection and manifold if recurrent with respect to the Levi-Civita connection is studied in Section 4. Section 5 is devoted to \(\xi\)-projectively flat P-Sasakian manifolds with respect to the semi-symmetric metric connection. Finally, the author investigates locally \(\phi\)-projectively symmetric P-Sasakian manifolds with respect to the semi-symmetric metric connection.