Some results on {\eta}-Yamabe Solitons in 3-dimensional trans-Sasakian manifold

Abstract

The object of the present paper is to study some properties of 3-dimensional trans-Sasakian manifold whose metric is {\eta}-Yamabe soliton. We have studied here some certain curvature conditions of 3-dimensional trans-Sasakian manifold admitting {\eta}-Yamabe soliton. Lastly we construct a 3-dimensional trans-Sasakian manifold satisfying {\eta}-Yamabe soliton.