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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.05802 |
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| _version_ | 1866908522495606784 |
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| author | Huang, Shaochuang Peng, Zhuo |
| author_facet | Huang, Shaochuang Peng, Zhuo |
| contents | In this note, we give a diffeomorphism (to $\mathbb{R}^n$) criterion via long-time Ricci flow and show some applications. In particular, we provide an affirmative answer that the conclusion in [Manifolds with small curvature concentration, Ann. PDE, 2024] by Chan, Lee and the first named author and [Removing scalar curvature assumption for Ricci flow smoothing, Bull. Lond. Math. Soc., 2025] by A. Martens about manifolds with small curvature concentration can be improved to diffeomorphism in dimension $4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05802 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on a diffeomorphism criterion via long-time Ricci flow Huang, Shaochuang Peng, Zhuo Differential Geometry 53E20 In this note, we give a diffeomorphism (to $\mathbb{R}^n$) criterion via long-time Ricci flow and show some applications. In particular, we provide an affirmative answer that the conclusion in [Manifolds with small curvature concentration, Ann. PDE, 2024] by Chan, Lee and the first named author and [Removing scalar curvature assumption for Ricci flow smoothing, Bull. Lond. Math. Soc., 2025] by A. Martens about manifolds with small curvature concentration can be improved to diffeomorphism in dimension $4$. |
| title | A note on a diffeomorphism criterion via long-time Ricci flow |
| topic | Differential Geometry 53E20 |
| url | https://arxiv.org/abs/2509.05802 |