Characterization of the $M$-Projective Curvature Tensor in Sasakian Manifolds with General Connections

Abstract

This paper aims to investigate specific properties of Sasakian manifolds with respect to a general connection. Furthermore, we provide a characterization of Sasakian manifolds that admit a general connection, using the $M$-projective curvature tensor. The study concludes with an example focusing on three-dimensional Sasakian manifolds.