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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2023 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2023
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/212038 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Vector Fields and Flows on Subcartesian Spaces. Yael Karshon and Eugene Lerman. SIGMA 19 (2023), 093, 17 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862699722985177088 |
|---|---|
| author | Karshon, Yael Lerman, Eugene |
| author_facet | Karshon, Yael Lerman, Eugene |
| citation_txt | Vector Fields and Flows on Subcartesian Spaces. Yael Karshon and Eugene Lerman. SIGMA 19 (2023), 093, 17 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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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| first_indexed | 2026-03-18T11:51:10Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212038 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-18T11:51:10Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Karshon, Yael Lerman, Eugene 2026-01-23T10:10:35Z 2023 Vector Fields and Flows on Subcartesian Spaces. Yael Karshon and Eugene Lerman. SIGMA 19 (2023), 093, 17 pages 1815-0659 2020 Mathematics Subject Classification: 58A40; 46E25; 14A99 arXiv:2307.10959 https://nasplib.isofts.kiev.ua/handle/123456789/212038 https://doi.org/10.3842/SIGMA.2023.093 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. We thank Jordan Watts and Rui Fernandes for their help. Y.K.’s research is partly funded by the Natural Science and Engineering Research Council of Canada and by the United States-Israel Binational Science Foundation. E.L.’s research is partially supported by the Air Force Office of Scientific Research under award number FA9550-23-1-0337. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Vector Fields and Flows on Subcartesian Spaces Article published earlier |
| spellingShingle | Vector Fields and Flows on Subcartesian Spaces Karshon, Yael Lerman, Eugene |
| title | Vector Fields and Flows on Subcartesian Spaces |
| title_full | Vector Fields and Flows on Subcartesian Spaces |
| title_fullStr | Vector Fields and Flows on Subcartesian Spaces |
| title_full_unstemmed | Vector Fields and Flows on Subcartesian Spaces |
| title_short | Vector Fields and Flows on Subcartesian Spaces |
| title_sort | vector fields and flows on subcartesian spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212038 |
| work_keys_str_mv | AT karshonyael vectorfieldsandflowsonsubcartesianspaces AT lermaneugene vectorfieldsandflowsonsubcartesianspaces |