<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In the present paper we study <italic>η</italic>-Ricci solitons on Kenmotsu 3-manifolds. Moreover, we consider <italic>η</italic>-Ricci solitons on Kenmotsu 3-manifolds with Codazzi type of Ricci tensor and cyclic parallel Ricci tensor. Beside these, we study <italic>φ</italic>-Ricci symmetric <italic>η</italic>-Ricci soliton on Kenmotsu 3-manifolds. Also Kenmotsu 3-manifolds satisfying the curvature condition <italic>R.R</italic> = <italic>Q</italic>(<italic>S, R</italic>)is considered. Finally, an example is constructed to prove the existence of a proper <italic>η</italic>-Ricci soliton on a Kenmotsu 3-manifold.</p></abstract>

In the present paper we study η-Ricci solitons on Kenmotsu 3-manifolds. Moreover, we consider η-Ricci solitons on Kenmotsu 3-manifolds with Codazzi type of Ricci tensor and cyclic parallel Ricci tensor. Beside these, we study φ-Ricci symmetric η-Ricci soliton on Kenmotsu 3-manifolds. Also Kenmotsu 3-manifolds satisfying the curvature condition R.R = Q(S, R)is considered. Finally, an example is constructed to prove the existence of a proper η-Ricci soliton on a Kenmotsu 3-manifold.

<italic>η</italic>-Ricci Solitons on Kenmotsu 3-Manifolds

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":{"italic":"η","content":"-Ricci Solitons on Kenmotsu 3-Manifolds"}}

In the present paper we study η-Ricci solitons on Kenmotsu 3-manifolds. Moreover, we consider η-Ricci solitons on Kenmotsu 3-manifolds with Codazzi type of...

η-Ricci Solitons on Kenmotsu 3-Manifolds

Published Online: Dec 07, 2018

Page range: 51 - 63

Received: May 26, 2018

Accepted: Oct 04, 2018

DOI: https://doi.org/10.2478/awutm-2018-0004

Keywords
Ricci soliton, -Ricci soliton, Kenmotsu 3-manifolds, Codazzi type of Ricci tensor, cyclic parallel Ricci tensor

© 2018 Krishnendu De et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

η-Ricci Solitons on Kenmotsu 3-Manifolds

Published Online: Dec 07, 2018

Page range: 51 - 63

Received: May 26, 2018

Accepted: Oct 04, 2018

DOI: https://doi.org/10.2478/awutm-2018-0004

KeywordsRicci soliton, -Ricci soliton, Kenmotsu 3-manifolds, Codazzi type of Ricci tensor, cyclic parallel Ricci tensor

© 2018 Krishnendu De et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Ricci soliton, -Ricci soliton, Kenmotsu 3-manifolds, Codazzi type of Ricci tensor, cyclic parallel Ricci tensor