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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.

DOI: https://doi.org/10.2478/awutm-2018-0004 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Language: English
Page range: 51 - 63
Submitted on: May 26, 2018
Accepted on: Oct 4, 2018
Published on: Dec 7, 2018
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2018 Krishnendu De, Uday Chand De, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.