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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.03417 |
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| _version_ | 1866929202119311360 |
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| author | Lange, Christian |
| author_facet | Lange, Christian |
| contents | We show that the geodesic flow and the exponential map of a $C^k$ submanifold of $\mathbb{R}^n$ with $k\geq 2$ are of class $C^{k-1}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_03417 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularity of the geodesic flow on submanifolds Lange, Christian Differential Geometry Metric Geometry 53B20, 37D40 We show that the geodesic flow and the exponential map of a $C^k$ submanifold of $\mathbb{R}^n$ with $k\geq 2$ are of class $C^{k-1}$. |
| title | Regularity of the geodesic flow on submanifolds |
| topic | Differential Geometry Metric Geometry 53B20, 37D40 |
| url | https://arxiv.org/abs/2401.03417 |