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On elliptical billiards in the Lobachevsky space and associated geodesic hierarchies

✍ Scribed by Vladimir Dragović; Božidar Jovanović; Milena Radnović


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
133 KB
Volume
47
Category
Article
ISSN
0393-0440

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Confocal surfaces and integrable billiar
✍ Alexander P. Veselov 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 917 KB

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