On trans-Sasakian manifold equipped with m-projective curvature tensor

Abstract

The work towards of the attending paper is to interpret the trans-Sasakian manifold equipped with m-projective curvature tensor and its various geometric properties. First, we observe that m-projectively flat trans-Sasakian manifold is Einstein. In order, we discussed m-projectively conservative and ?-m-projectively flat trans-Sasakian manifold. Following, we found the sufficient condition for quasi m-projectively flat transSasakian manifold to be m-projectively flat. In the end, the m-projectively and ?-mprojectively symmetric trans-Sasakian manifolds are analyzed.