Ricci almost solitons on Concircular Ricci pseudosymmetric $\beta$-Kenmotsu manifolds

Abstract

The object of the present paper is to study concircular Ricci pseudosymmetric $\beta$-Kenmotsu manifolds whose metric is Ricci almost soliton. We found the conditions when Ricci almost soliton on concircular Ricci pseudosymmetric $\beta$-Kenmotsu manifold to be shrinking, steady and expanding respectively. We also construct an example of concircular Ricci pseudosymmetric $\beta$-Kenmotsu manifold whose metric is Ricci almost soliton.