Mikami-Weinstein Type Theorem for Cosymplectic Groupoid Actions
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911106420703232 |
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| author | Yonehara, Shuhei |
| author_facet | Yonehara, Shuhei |
| contents | 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 which is a natural analogue of the Mikami-Weinstein theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_05846 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mikami-Weinstein Type Theorem for Cosymplectic Groupoid Actions Yonehara, Shuhei Symplectic Geometry Differential Geometry 53D17, 53D20, 22A22, 58H05 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 which is a natural analogue of the Mikami-Weinstein theorem. |
| title | Mikami-Weinstein Type Theorem for Cosymplectic Groupoid Actions |
| topic | Symplectic Geometry Differential Geometry 53D17, 53D20, 22A22, 58H05 |
| url | https://arxiv.org/abs/2410.05846 |