Mikami-Weinstein Type Theorem for Cosymplectic Groupoid Actions
The Mikami-Weinstein theorem is a generalization of the classical Marsden-Weinstein-Meyer symplectic reduction theorem to the case of symplectic groupoid actions. In this paper, we introduce the notion of a cosymplectic groupoid action on a cosymplectic manifold and prove a theorem that is a natural...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2025 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2025
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/214095 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Mikami-Weinstein Type Theorem for Cosymplectic Groupoid Actions. Shuhei Yonehara. SIGMA 21 (2025), 070, 11 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862743321844121600 |
|---|---|
| author | Yonehara, Shuhei |
| author_facet | Yonehara, Shuhei |
| citation_txt | Mikami-Weinstein Type Theorem for Cosymplectic Groupoid Actions. Shuhei Yonehara. SIGMA 21 (2025), 070, 11 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The Mikami-Weinstein theorem is a generalization of the classical Marsden-Weinstein-Meyer symplectic reduction theorem to the case of symplectic groupoid actions. In this paper, we introduce the notion of a cosymplectic groupoid action on a cosymplectic manifold and prove a theorem that is a natural analogue of the Mikami-Weinstein theorem.
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| first_indexed | 2026-03-21T19:07:17Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-214095 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T19:07:17Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Yonehara, Shuhei 2026-02-19T11:13:41Z 2025 Mikami-Weinstein Type Theorem for Cosymplectic Groupoid Actions. Shuhei Yonehara. SIGMA 21 (2025), 070, 11 pages 1815-0659 2020 Mathematics Subject Classification: 53D17; 53D20; 22A22; 58H05 arXiv:2410.05846 https://nasplib.isofts.kiev.ua/handle/123456789/214095 https://doi.org/10.3842/SIGMA.2025.070 The Mikami-Weinstein theorem is a generalization of the classical Marsden-Weinstein-Meyer symplectic reduction theorem to the case of symplectic groupoid actions. In this paper, we introduce the notion of a cosymplectic groupoid action on a cosymplectic manifold and prove a theorem that is a natural analogue of the Mikami-Weinstein theorem. The author is grateful to R. Goto for his encouragement. The author also thanks N. Ikeda for useful conversations. He greatly appreciates the suggestions of the anonymous referees, which considerably improved the presentation. This work was supported by JSPS KAKENHI Grant Number JP23KJ1487. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Mikami-Weinstein Type Theorem for Cosymplectic Groupoid Actions Article published earlier |
| spellingShingle | Mikami-Weinstein Type Theorem for Cosymplectic Groupoid Actions Yonehara, Shuhei |
| title | Mikami-Weinstein Type Theorem for Cosymplectic Groupoid Actions |
| title_full | Mikami-Weinstein Type Theorem for Cosymplectic Groupoid Actions |
| title_fullStr | Mikami-Weinstein Type Theorem for Cosymplectic Groupoid Actions |
| title_full_unstemmed | Mikami-Weinstein Type Theorem for Cosymplectic Groupoid Actions |
| title_short | Mikami-Weinstein Type Theorem for Cosymplectic Groupoid Actions |
| title_sort | mikami-weinstein type theorem for cosymplectic groupoid actions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/214095 |
| work_keys_str_mv | AT yoneharashuhei mikamiweinsteintypetheoremforcosymplecticgroupoidactions |