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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/2409.02895 |
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| _version_ | 1866916381807607808 |
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| author | Koval, Vadym |
| author_facet | Koval, Vadym |
| contents | The main purpose of this article is to study conditions for a curve on a submanifold $M\subset\mathbb{R}^n$, constructed in a particular way involving the Euclidean distance to $M$, to be a geodesic. We also present the naturally arising generalization of Clairaut's formula needed for the generalization of the main result to higher dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02895 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A generalization of Clairaut's formula and its applications Koval, Vadym Differential Geometry The main purpose of this article is to study conditions for a curve on a submanifold $M\subset\mathbb{R}^n$, constructed in a particular way involving the Euclidean distance to $M$, to be a geodesic. We also present the naturally arising generalization of Clairaut's formula needed for the generalization of the main result to higher dimensions. |
| title | A generalization of Clairaut's formula and its applications |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2409.02895 |