Poisson structure on predual of Banach Lie algebroid
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910953845555200 |
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| author | Goliński, Tomasz Jakimowicz, Grzegorz |
| author_facet | Goliński, Tomasz Jakimowicz, Grzegorz |
| contents | We construct the linear Poisson structure on the predual bundle of a Banach Lie algebroid. It is an alternative approach to the already known results on the linear sub-Poisson structure on the dual bundle. We also discuss the existence of queer Banach Lie algebroids. An example of a precotangent bundle is presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_13351 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Poisson structure on predual of Banach Lie algebroid Goliński, Tomasz Jakimowicz, Grzegorz Differential Geometry Mathematical Physics Functional Analysis We construct the linear Poisson structure on the predual bundle of a Banach Lie algebroid. It is an alternative approach to the already known results on the linear sub-Poisson structure on the dual bundle. We also discuss the existence of queer Banach Lie algebroids. An example of a precotangent bundle is presented. |
| title | Poisson structure on predual of Banach Lie algebroid |
| topic | Differential Geometry Mathematical Physics Functional Analysis |
| url | https://arxiv.org/abs/2505.13351 |