$\eta$-Ricci Solitons on Kenmotsu 3-Manifolds

K. De; U. C. De

$\eta$-Ricci Solitons on Kenmotsu 3-Manifolds

Differential Geometry 2024-11-25 v1

Authors: K. De , U. C. De

Abstract

In the present paper we study $\eta$ -Ricci solitons on Kenmotsu 3-manifolds. Moreover, we consider $\eta$ -Ricci solitons on Kenmotsu 3-manifolds with Codazzi type of Ricci tensor and cyclic parallel Ricci tensor. Beside these, we study $\phi$ -Ricci symmetric $\eta$ -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 $\eta$ -Ricci soliton on a Kenmotsu 3-manifold.

Keywords

$\eta$-Ricci solitons Kenmotsu manifolds Ricci tensor curvature conditions geometric flows

Cite

@article{arxiv.2411.14988,
  title  = {$\eta$-Ricci Solitons on Kenmotsu 3-Manifolds},
  author = {K. De and U. C. De},
  journal= {arXiv preprint arXiv:2411.14988},
  year   = {2024}
}

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