A geometric characterization of $\mathbb{N}$-manifolds and the Frobenius theorem
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910587834859520 |
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| author | Bursztyn, Henrique Cueca, Miquel Mehta, Rajan Amit |
| author_facet | Bursztyn, Henrique Cueca, Miquel Mehta, Rajan Amit |
| contents | This paper studies graded manifolds with local coordinates concentrated in non-negative degrees. We provide a canonical description of these objects in terms of classical geometric data and, building on this geometric viewpoint, we prove the Frobenius theorem for distributions in this graded setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17746 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A geometric characterization of $\mathbb{N}$-manifolds and the Frobenius theorem Bursztyn, Henrique Cueca, Miquel Mehta, Rajan Amit Differential Geometry Mathematical Physics Symplectic Geometry 58A50, 58A30, 53C12 This paper studies graded manifolds with local coordinates concentrated in non-negative degrees. We provide a canonical description of these objects in terms of classical geometric data and, building on this geometric viewpoint, we prove the Frobenius theorem for distributions in this graded setting. |
| title | A geometric characterization of $\mathbb{N}$-manifolds and the Frobenius theorem |
| topic | Differential Geometry Mathematical Physics Symplectic Geometry 58A50, 58A30, 53C12 |
| url | https://arxiv.org/abs/2402.17746 |