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

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Hacettepe Journal of Mathematics and Statistics
Volume:47 Issue:3
Ricci almost solitons on Concircular Ricci pseudosymmetric $beta$-Kenmotsu manifolds

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

Authors : Shyamal Kumar HUİ, Debabrata CHAKRABORTY

Pages : 579-587

View : 44 | Download : 7

Publication Date : 2018-06-01

Article Type : Research Paper

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, eta Kenmotsu manifold, Ricci pseudosymmetric manifold, concircular curvature tensor

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