Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant
We study Beauville's completely integrable system and its variant from a viewpoint of multi-Hamiltonian structures. We also relate our result to the previously known Poisson structures on the Mumford system and the even Mumford system.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
National Academy of Science of Ukraine
2007-01-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://www.emis.de/journals/SIGMA/2007/007/ |
| _version_ | 1819072225848852480 |
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| author | Rei Inoue Yukiko Konishi |
| author_facet | Rei Inoue Yukiko Konishi |
| author_sort | Rei Inoue |
| collection | DOAJ |
| description | We study Beauville's completely integrable system and its variant from a viewpoint of multi-Hamiltonian structures. We also relate our result to the previously known Poisson structures on the Mumford system and the even Mumford system. |
| first_indexed | 2024-12-21T17:34:21Z |
| format | Article |
| id | doaj.art-96f9386f66e54b0c8c6ec4b11ad43c6b |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-21T17:34:21Z |
| publishDate | 2007-01-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-96f9386f66e54b0c8c6ec4b11ad43c6b2022-12-21T18:55:49ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592007-01-013007Multi-Hamiltonian Structures on Beauville's Integrable System and Its VariantRei InoueYukiko KonishiWe study Beauville's completely integrable system and its variant from a viewpoint of multi-Hamiltonian structures. We also relate our result to the previously known Poisson structures on the Mumford system and the even Mumford system.http://www.emis.de/journals/SIGMA/2007/007/completely integrable systemMumford systemmulti-Hamiltonian structure |
| spellingShingle | Rei Inoue Yukiko Konishi Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant Symmetry, Integrability and Geometry: Methods and Applications completely integrable system Mumford system multi-Hamiltonian structure |
| title | Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant |
| title_full | Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant |
| title_fullStr | Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant |
| title_full_unstemmed | Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant |
| title_short | Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant |
| title_sort | multi hamiltonian structures on beauville s integrable system and its variant |
| topic | completely integrable system Mumford system multi-Hamiltonian structure |
| url | http://www.emis.de/journals/SIGMA/2007/007/ |
| work_keys_str_mv | AT reiinoue multihamiltonianstructuresonbeauvillesintegrablesystemanditsvariant AT yukikokonishi multihamiltonianstructuresonbeauvillesintegrablesystemanditsvariant |