Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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𝜂-RICCI SOLITONS ON PARA-KENMOTSU MANIFOLDS WITH SOME CURVATURE CONDITIONS

  • Received : 2021.07.08
  • Accepted : 2021.10.28
  • Published : 2021.12.30
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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.

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Acknowledgement

The author is thankful to the referees for his/her valuable comments and suggestions towards the improvement of the paper.

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