A survey on partial Nambu-Poisson structures in the convenient setting
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866908706070855680 |
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| author | Cabau, Patrick Pelletier, Fernand |
| author_facet | Cabau, Patrick Pelletier, Fernand |
| contents | This paper is a survey (may be incomplete) on partial Nambu-Poisson structures in infinite dimension, mainly in the convenient setting. These ones can be seen as a generalization of both partial Poisson and Nambu-Poisson structures. We also study the properties of the associated characteristic distribution. Finally, we are interested in the projective and direct limits of such structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_14592 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A survey on partial Nambu-Poisson structures in the convenient setting Cabau, Patrick Pelletier, Fernand Differential Geometry 58A30, 18A30, 46T05, secondary 37K30, 17B99, 22E65 This paper is a survey (may be incomplete) on partial Nambu-Poisson structures in infinite dimension, mainly in the convenient setting. These ones can be seen as a generalization of both partial Poisson and Nambu-Poisson structures. We also study the properties of the associated characteristic distribution. Finally, we are interested in the projective and direct limits of such structures. |
| title | A survey on partial Nambu-Poisson structures in the convenient setting |
| topic | Differential Geometry 58A30, 18A30, 46T05, secondary 37K30, 17B99, 22E65 |
| url | https://arxiv.org/abs/2112.14592 |