On conformal collineation and almost Ricci solitons
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866912513678901248 |
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| author | Blaga, Adara M. Chen, Bang-Yen |
| author_facet | Blaga, Adara M. Chen, Bang-Yen |
| contents | We provide conditions for a Riemannian manifold with a nontrivial closed affine conformal Killing vector field to be isometric to a Euclidean sphere or to the Euclidean space. Also, we formulate some triviality results for almost Ricci solitons with affine conformal Killing potential vector field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_05284 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On conformal collineation and almost Ricci solitons Blaga, Adara M. Chen, Bang-Yen Differential Geometry We provide conditions for a Riemannian manifold with a nontrivial closed affine conformal Killing vector field to be isometric to a Euclidean sphere or to the Euclidean space. Also, we formulate some triviality results for almost Ricci solitons with affine conformal Killing potential vector field. |
| title | On conformal collineation and almost Ricci solitons |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2210.05284 |