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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.19064 |
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| _version_ | 1866911143534002176 |
|---|---|
| author | Lerman, Eugene |
| author_facet | Lerman, Eugene |
| contents | We prove that a vector field on an affine $C^\infty$-scheme Spec(A) has a flow if the $C^\infty$-ring A is finitely generated. If the vector field is complete then
the flow is the target map of a groupoid internal to the category of
$C^\infty$-schemes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_19064 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Vector fields and flows on $C^\infty$-schemes Lerman, Eugene Differential Geometry We prove that a vector field on an affine $C^\infty$-scheme Spec(A) has a flow if the $C^\infty$-ring A is finitely generated. If the vector field is complete then the flow is the target map of a groupoid internal to the category of $C^\infty$-schemes. |
| title | Vector fields and flows on $C^\infty$-schemes |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2503.19064 |