η-Ricci Solitons on Kenmotsu 3-Manifolds

Krishnendu De; Uday Chand De

doi:10.2478/awutm-2018-0004

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η-Ricci Solitons on Kenmotsu 3-Manifolds

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 56 (2018): Issue 1 (July 2018)

By: Krishnendu De and Uday Chand De

Open Access

|Dec 2018

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.

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Articles in this issue

DOI: https://doi.org/10.2478/awutm-2018-0004 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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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

Keywords:

Ricci soliton,

η-Ricci soliton,

Kenmotsu 3-manifolds,

Codazzi type of Ricci tensor,

cyclic parallel Ricci tensor

Related subjects:

Mathematics,

General mathematics

© 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.

Volume 56 (2018): Issue 1 (July 2018)