Canonical connection and a geometric proof of the Frobenius theorem
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916709108023296 |
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| author | Yu, Chengjie |
| author_facet | Yu, Chengjie |
| contents | In this paper, we introduce a new canonical connection on Riemannian manifold with a distribution. Moreover, as an application of the connection, we give a geometric proof of the Frobenius theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19092 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Canonical connection and a geometric proof of the Frobenius theorem Yu, Chengjie Differential Geometry In this paper, we introduce a new canonical connection on Riemannian manifold with a distribution. Moreover, as an application of the connection, we give a geometric proof of the Frobenius theorem. |
| title | Canonical connection and a geometric proof of the Frobenius theorem |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2504.19092 |