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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/2401.15988 |
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| _version_ | 1866913213391568896 |
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| author | Daniel, Lehmann |
| author_facet | Daniel, Lehmann |
| contents | For any d-web by curves in an ambiant n-dimensional manifold, we define a tautological connection on some associated bundle, whose curvature vanishes iff the web has a maximal (n-1)-rank. As an application we recover, with the help of a Maple programm, that the exceptional 6-web $W_{0,6}$ in dimension 3 (as well as his 4 and 5-subwebs) have maximal rank. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_15988 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Courbure des tissus en courbes Daniel, Lehmann Differential Geometry Dynamical Systems 53A60 For any d-web by curves in an ambiant n-dimensional manifold, we define a tautological connection on some associated bundle, whose curvature vanishes iff the web has a maximal (n-1)-rank. As an application we recover, with the help of a Maple programm, that the exceptional 6-web $W_{0,6}$ in dimension 3 (as well as his 4 and 5-subwebs) have maximal rank. |
| title | Courbure des tissus en courbes |
| topic | Differential Geometry Dynamical Systems 53A60 |
| url | https://arxiv.org/abs/2401.15988 |