A remark on the linearization of nondegenerate Nambu structures of coorder 1
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916375420731392 |
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| author | Zeiser, Florian |
| author_facet | Zeiser, Florian |
| contents | In this note we show that Nambu structures of coorder 1 can always be linearized if they admit a closed integrable differential form. In particular, we show that a unimodular Poisson structure whose isotropy Lie algebra at a singular point is $\mathfrak{sl}(2,\mathbb{R})$, can always be linearized. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_16925 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A remark on the linearization of nondegenerate Nambu structures of coorder 1 Zeiser, Florian Differential Geometry 53C12, 53D17, 58A17, 37G05 In this note we show that Nambu structures of coorder 1 can always be linearized if they admit a closed integrable differential form. In particular, we show that a unimodular Poisson structure whose isotropy Lie algebra at a singular point is $\mathfrak{sl}(2,\mathbb{R})$, can always be linearized. |
| title | A remark on the linearization of nondegenerate Nambu structures of coorder 1 |
| topic | Differential Geometry 53C12, 53D17, 58A17, 37G05 |
| url | https://arxiv.org/abs/2408.16925 |