Ricci solitons on Ricci pseudosymmetric (LCS)_n-manifolds

2017/07/12 by Shyamal Kumar Hui, Hui, Shyamal Kumar, Richard S. Lemence +3
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.1707.03618

Abstract

The object of the present paper is to study some types of Ricci pseudosymmetric (LCS)_n-manifolds whose metric is Ricci soliton. We found the conditions when Ricci soliton on concircular Ricci pseudosymmetric, projective Ricci pseudosymmetric, W₃-Ricci pseudosymmetric, conharmonic Ricci pseudosymmetric, conformal Ricci pseudosymmetric (LCS)_n-manifolds to be shrinking, steady and expanding. We also construct an example of concircular Ricci pseudosymmetric (LCS)₃-manifold whose metric is Ricci soliton.

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