Integrable systems in cosymplectic geometry
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866910516615577600 |
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| author | Jovanovic, Bozidar Lukic, Katarina |
| author_facet | Jovanovic, Bozidar Lukic, Katarina |
| contents | Motivated by the time-dependent Hamiltonian dynamics, we extend the notion of Arnold-Liouville and noncommutative integrability of Hamiltonian systems on symplectic manifolds to that on cosymplectic manifolds. We prove a variant of the non-commutative integrability for evaluation and Reeb vector fields on cosymplectic manifolds and provide a construction of cosymplectic action-angle variables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_09427 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Integrable systems in cosymplectic geometry Jovanovic, Bozidar Lukic, Katarina Differential Geometry Mathematical Physics 37J35, 53D15, 53C12 Motivated by the time-dependent Hamiltonian dynamics, we extend the notion of Arnold-Liouville and noncommutative integrability of Hamiltonian systems on symplectic manifolds to that on cosymplectic manifolds. We prove a variant of the non-commutative integrability for evaluation and Reeb vector fields on cosymplectic manifolds and provide a construction of cosymplectic action-angle variables. |
| title | Integrable systems in cosymplectic geometry |
| topic | Differential Geometry Mathematical Physics 37J35, 53D15, 53C12 |
| url | https://arxiv.org/abs/2212.09427 |