Annals of the West University of Timisoara: Mathematics and Computer Science (Jul 2018)

η-Ricci Solitons on Kenmotsu 3-Manifolds

  • De Krishnendu,
  • De Uday Chand

DOI
https://doi.org/10.2478/awutm-2018-0004
Journal volume & issue
Vol. 56, no. 1
pp. 51 – 63

Abstract

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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.

Keywords