Yamabe Solitons On (LCS) n -Manifolds

Abstract

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.