Semi-symmetric non-metric connection in a P-Sasakian manifold (Q2815221)

The paper deals with the study of para-Sasakian manifolds admitting a semi-symmetric non-metric connection whose conharmonic curvature tensor satisfies certain curvature conditions. In Section 3, the author studies the semisymmetric non-metric connection on P-Sasakian manifolds. Section 4 establishes a relation between the Levi-Civita connection and the semi-symmetric non-metric connection of a P-Sasakian manifold. Section 5 deals with \(\xi\)-conharmonicly flat P-Sasakian manifolds with respect to the semi-symmetric non-metric connection. Finally, the author investigates globally \(\phi\)-conharmonically symmetric P-Sasakian manifolds with respect to the semi-symmetric non-metric connection.