Billiard problems for the domains on the sphere and hyperbolic space bounded by the corresponding conical sections are investigated. It is shown that these discrete systems are integrable and correspond to the translations on the Jacobi varieties of certain hyperelliptic curves. The explicit formula
On some integrable systems in the extended lobachevsky space
✍ Scribed by Yu. A. Kurochkin; V. S. Otchik; E. M. Ovsiyuk; Dz. V. Shoukavy
- Book ID
- 111441351
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2011
- Tongue
- English
- Weight
- 451 KB
- Volume
- 74
- Category
- Article
- ISSN
- 1063-7788
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