Yamabe Solitons On (<i>LCS</i>)<i>_n</i> -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.