A special type of quarter-symmetric non-metric connection on P-Sasakian manifolds

Abstract

The object of the present paper is to study a special type of quarter-symmetric non-metric connection on a P-Sasakian manifold. It is shown that the first Bianchi identity of the curvature tensors on P-Sasakian manifolds admits a special type of quarter-symmetric non-metric connection. Among others, we prove that if PSasakian manifolds admit a special type of quarter-symmetric non-metric connection, then they are Ricci-Semi-symmetric. Finally, an illustrative example is given to verify our result.