Ricci Solitons on the Poincaré upper half plane
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866915287677272064 |
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| author | Bousso, Abdou Ndiaye, Ameth |
| author_facet | Bousso, Abdou Ndiaye, Ameth |
| contents | In this paper, we characterize the Ricci soliton equations on the Poincaré upper half plane .
First we classify all Ricci soliton and Ricci Bourguignon soliton in the half plane of Poincaré
and after we generalize those equations in $\mathbb{H}^n$. We obtain some nice properties of the soliton
about their geodesic flows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02145 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ricci Solitons on the Poincaré upper half plane Bousso, Abdou Ndiaye, Ameth Differential Geometry In this paper, we characterize the Ricci soliton equations on the Poincaré upper half plane . First we classify all Ricci soliton and Ricci Bourguignon soliton in the half plane of Poincaré and after we generalize those equations in $\mathbb{H}^n$. We obtain some nice properties of the soliton about their geodesic flows. |
| title | Ricci Solitons on the Poincaré upper half plane |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2505.02145 |