Direct Products for the Hamiltonian Density Property
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915612515631104 |
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| author | Andrist, Rafael B. Huang, Gaofeng |
| author_facet | Andrist, Rafael B. Huang, Gaofeng |
| contents | We show that the direct product of two Stein manifolds with the Hamiltonian density property enjoys the Hamiltonian density property as well. We investigate the relation between the Hamiltonian density property and the symplectic density property. We then establish the Hamiltonian and the symplectic density property for $(\mathbb{C}^\ast)^{2n}$ and for the so-called traceless Calogero--Moser spaces. As an application we obtain a Carleman-type approximation for Hamiltonian diffeomorphisms of a real form of the traceless Calogero--Moser space. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_23075 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Direct Products for the Hamiltonian Density Property Andrist, Rafael B. Huang, Gaofeng Complex Variables 32M17, 53D22 We show that the direct product of two Stein manifolds with the Hamiltonian density property enjoys the Hamiltonian density property as well. We investigate the relation between the Hamiltonian density property and the symplectic density property. We then establish the Hamiltonian and the symplectic density property for $(\mathbb{C}^\ast)^{2n}$ and for the so-called traceless Calogero--Moser spaces. As an application we obtain a Carleman-type approximation for Hamiltonian diffeomorphisms of a real form of the traceless Calogero--Moser space. |
| title | Direct Products for the Hamiltonian Density Property |
| topic | Complex Variables 32M17, 53D22 |
| url | https://arxiv.org/abs/2507.23075 |