Yamabe Solitons on (LCS)${}_n$-manifolds

Abstract

The object of the present paper is to study some properties of (LCS)${}_n$-manifolds whose metric is Yamabe soliton. We establish some characterization of (LCS)${}_n$-manifolds when the soliton becomes steady. Next we have studied some certain curvature conditions of (LCS)${}_n$-manifolds admitting Yamabe solitons. Lastly we construct a 3-dimensional (LCS)${}_n$-manifold satisfying the results.

14 Pages