Darboux type theorems in multisymplectic geometry
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
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| _version_ | 1866908420631691264 |
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| author | Ryvkin, Leonid |
| author_facet | Ryvkin, Leonid |
| contents | We give a survey of Darboux type theorems in multisymplectic geometry. These theorems establish when a closed differential form of a certain type admits a constant-coefficient expression in some local coordinate system. Beyond the classical cases of symplectic and volume forms, 0-deformability (i.e. constancy of linear type) is typically not automatic and has to be imposed, leading to distinct theorems 'per linear type'. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_03672 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Darboux type theorems in multisymplectic geometry Ryvkin, Leonid Symplectic Geometry 53C15 (primary), 53C10, 53D05 (secondary) We give a survey of Darboux type theorems in multisymplectic geometry. These theorems establish when a closed differential form of a certain type admits a constant-coefficient expression in some local coordinate system. Beyond the classical cases of symplectic and volume forms, 0-deformability (i.e. constancy of linear type) is typically not automatic and has to be imposed, leading to distinct theorems 'per linear type'. |
| title | Darboux type theorems in multisymplectic geometry |
| topic | Symplectic Geometry 53C15 (primary), 53C10, 53D05 (secondary) |
| url | https://arxiv.org/abs/2503.03672 |