Universality of the Divergence
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910022753058816 |
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| author | Ni, Lei Zhang, Yijian |
| author_facet | Ni, Lei Zhang, Yijian |
| contents | Algebraists asked whether or not an operator on the module of smooth sections of the tangent bundle over the commutative ring of smooth functions of a smooth (orientable) manifold (can be any piece of a compact or a complete manifold) can be characterized by two axioms. In this note we confirm this for any smooth manifold M under the assumption that H^1(M, R) = {0}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01341 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Universality of the Divergence Ni, Lei Zhang, Yijian Differential Geometry Algebraists asked whether or not an operator on the module of smooth sections of the tangent bundle over the commutative ring of smooth functions of a smooth (orientable) manifold (can be any piece of a compact or a complete manifold) can be characterized by two axioms. In this note we confirm this for any smooth manifold M under the assumption that H^1(M, R) = {0}. |
| title | Universality of the Divergence |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2511.01341 |