On vector-valued multisymplectic forms
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917351226605568 |
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| author | Barron, Tatyana Boisvert, Kai Vale, Noah |
| author_facet | Barron, Tatyana Boisvert, Kai Vale, Noah |
| contents | We obtain a standard local presentation for a vector-valued multisymplectic form on a smooth manifold, generalizing the known proof for polysymplectic forms. We show that vector-valued multisymplectic forms on a finite-dimensional real vector space form a non-unital operad. We prove an entropy inequality for partial compositions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_17252 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On vector-valued multisymplectic forms Barron, Tatyana Boisvert, Kai Vale, Noah Differential Geometry We obtain a standard local presentation for a vector-valued multisymplectic form on a smooth manifold, generalizing the known proof for polysymplectic forms. We show that vector-valued multisymplectic forms on a finite-dimensional real vector space form a non-unital operad. We prove an entropy inequality for partial compositions. |
| title | On vector-valued multisymplectic forms |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2603.17252 |