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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2602.15728 |
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| _version_ | 1866911452308176896 |
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| author | Chodosh, Otis Li, Chao |
| author_facet | Chodosh, Otis Li, Chao |
| contents | We study Gromov's problem concerning minimal normal curvature immersions in the unit ball. In particular, we determine the minimal possible value of the normal curvature of an $S^n\times S^1$. We also prove a differentiable sphere theorem and an existence result for minimizers in this context. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15728 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Immersions with small normal curvature Chodosh, Otis Li, Chao Differential Geometry We study Gromov's problem concerning minimal normal curvature immersions in the unit ball. In particular, we determine the minimal possible value of the normal curvature of an $S^n\times S^1$. We also prove a differentiable sphere theorem and an existence result for minimizers in this context. |
| title | Immersions with small normal curvature |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2602.15728 |