Unimodularity and invariant volume forms for Hamiltonian dynamics on coisotropic Poisson homogeneous spaces
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910702088749056 |
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| author | Gutierrez-Sagredo, Ivan Ponte, David Iglesias Marrero, Juan Carlos Padrón, Edith |
| author_facet | Gutierrez-Sagredo, Ivan Ponte, David Iglesias Marrero, Juan Carlos Padrón, Edith |
| contents | In this paper, we introduce the notion of a multiplicative unimodularity for a coisotropic Poisson homogeneous space. Then, we discuss the unimodularity and the multiplicative unimodularity for these spaces and the existence of an invariant volume form for explicit Hamiltonian systems on such spaces. Several interesting examples illustrating the theoretical results are also presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14091 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unimodularity and invariant volume forms for Hamiltonian dynamics on coisotropic Poisson homogeneous spaces Gutierrez-Sagredo, Ivan Ponte, David Iglesias Marrero, Juan Carlos Padrón, Edith Differential Geometry Mathematical Physics 37C40, 37J39, 53D17, 70G45, 70H05 In this paper, we introduce the notion of a multiplicative unimodularity for a coisotropic Poisson homogeneous space. Then, we discuss the unimodularity and the multiplicative unimodularity for these spaces and the existence of an invariant volume form for explicit Hamiltonian systems on such spaces. Several interesting examples illustrating the theoretical results are also presented. |
| title | Unimodularity and invariant volume forms for Hamiltonian dynamics on coisotropic Poisson homogeneous spaces |
| topic | Differential Geometry Mathematical Physics 37C40, 37J39, 53D17, 70G45, 70H05 |
| url | https://arxiv.org/abs/2408.14091 |