Rigidity of Five-Dimensional shrinking gradient Ricci solitons
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909631972900864 |
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| author | Li, Fengjiang Ou, Jianyu Qu, Yuanyuan Wu, Guoqiang |
| author_facet | Li, Fengjiang Ou, Jianyu Qu, Yuanyuan Wu, Guoqiang |
| contents | Suppose $(M, g, f)$ is a 5-dimensional complete shrinking gradient Ricci soliton with $R=1$. If it has bounded curvature, we prove that it is a finite quotient of $\mathbb{R}^3\times \mathbb{S}^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00887 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rigidity of Five-Dimensional shrinking gradient Ricci solitons Li, Fengjiang Ou, Jianyu Qu, Yuanyuan Wu, Guoqiang Differential Geometry Suppose $(M, g, f)$ is a 5-dimensional complete shrinking gradient Ricci soliton with $R=1$. If it has bounded curvature, we prove that it is a finite quotient of $\mathbb{R}^3\times \mathbb{S}^2$. |
| title | Rigidity of Five-Dimensional shrinking gradient Ricci solitons |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2506.00887 |