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

Year 2018, Volume: 47 Issue: 3, 579 - 587, 01.06.2018

Shyamal Kumar Hui , Debabrata Chakraborty

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.

Keywords

Ricci almost soliton, $\beta$-Kenmotsu manifold, Ricci pseudosymmetric manifold, concircular curvature tensor

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