Equivalent Integrable Metrics on the Sphere with Quartic Invariants
We discuss canonical transformations relating well-known geodesic flows on the cotangent bundle of the sphere to a set of geodesic flows with quartic invariants. By adding various potentials to the corresponding geodesic Hamiltonians, we can construct new integrable systems on the sphere with quarti...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2022 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2022
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211810 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Equivalent Integrable Metrics on the Sphere with Quartic Invariants. Andrey V. Tsiganov. SIGMA 18 (2022), 094, 19 pages |