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http://dx.doi.org/10.11568/kjm.2021.29.4.705

𝜂-RICCI SOLITONS ON PARA-KENMOTSU MANIFOLDS WITH SOME CURVATURE CONDITIONS  

Mondal, Ashis (Department of Mathematics, Jangipur College)
Publication Information
Korean Journal of Mathematics / v.29, no.4, 2021 , pp. 705-714 More about this Journal
Abstract
In the present paper, we study 𝜂-Ricci solitons on para-Kenmotsu manifolds with Codazzi type of the Ricci tensor. We study 𝜂-Ricci solitons on para-Kenmotsu manifolds with cyclic parallel Ricci tensor. We also study 𝜂-Ricci solitons on 𝜑-conformally semi-symmetric, 𝜑-Ricci symmetric and conformally Ricci semi-symmetric para-Kenmotsu manifolds. Finally, we construct an example of a three-dimensional para-Kenmotsu manifold which admits 𝜂-Ricci solitons.
Keywords
Ricci solitons; ${\eta}$-Ricci solitons; para-Kenmotsu manifolds; Codazzi type of the Ricci tensor; Einstein manifold;
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