Vector Fields and Flows on Subcartesian Spaces
This paper is part of a series of papers on differential geometry of ∞-ringed spaces. In this paper, we study vector fields and their flows on a class of singular spaces. Our class includes arbitrary subspaces of manifolds, as well as symplectic and contact quotients by actions of compact Lie groups...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2023 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2023
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212038 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Vector Fields and Flows on Subcartesian Spaces. Yael Karshon and Eugene Lerman. SIGMA 19 (2023), 093, 17 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | This paper is part of a series of papers on differential geometry of ∞-ringed spaces. In this paper, we study vector fields and their flows on a class of singular spaces. Our class includes arbitrary subspaces of manifolds, as well as symplectic and contact quotients by actions of compact Lie groups. We show that derivations of the ∞-ring of global smooth functions integrate to smooth flows.
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| ISSN: | 1815-0659 |