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