On 3-dimensional Trans-Sasakian manifold admitting a semi symmetric metric connection

Abstract

The purpose of the present paper is to study 3-dimensional trans-Sasakian manifold admitting a semi-symmetric metric connection. Here we mainly study locally -symmetric and locally -concircularly symmetric 3-dimensional trans-Sasakian manifold admitting a semi-symmetric metric connection. Moreover, we examine our results and the results of [1] and [2] by constructing some examples.