$η$-Ricci Solitons on Kenmotsu 3-Manifolds
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913583557771264 |
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| author | De, K. De, U. C. |
| author_facet | De, K. De, U. C. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_14988 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $η$-Ricci Solitons on Kenmotsu 3-Manifolds De, K. De, U. C. Differential Geometry 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. |
| title | $η$-Ricci Solitons on Kenmotsu 3-Manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2411.14988 |