Ricci-Yamabe solitons on a Walker 3-manifold
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911133449846784 |
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| author | Bousso, Abdou Ndiaye, Ameth |
| author_facet | Bousso, Abdou Ndiaye, Ameth |
| contents | This paper is devoted to the study of Ricci-Yamabe solitons on a particular class of Walker manifolds in dimension 3. We consider a Walker metric where the function f depends on the
three coordinates. The novelty of our research lies in the fact that the soliton field is found from the Hodge decomposition of De-Rham with the potential function. We classify all Ricci Yamabe and gradient Ricci-Yamabe soliton in a given Walker 3-manifold by using this decomposition. Many examples are given in this paper for illustrating our results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_01764 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ricci-Yamabe solitons on a Walker 3-manifold Bousso, Abdou Ndiaye, Ameth Differential Geometry This paper is devoted to the study of Ricci-Yamabe solitons on a particular class of Walker manifolds in dimension 3. We consider a Walker metric where the function f depends on the three coordinates. The novelty of our research lies in the fact that the soliton field is found from the Hodge decomposition of De-Rham with the potential function. We classify all Ricci Yamabe and gradient Ricci-Yamabe soliton in a given Walker 3-manifold by using this decomposition. Many examples are given in this paper for illustrating our results. |
| title | Ricci-Yamabe solitons on a Walker 3-manifold |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2509.01764 |