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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Бібліографічні деталі
Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2023
Автори: Karshon, Yael, Lerman, Eugene
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут математики НАН України 2023
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
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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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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