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Cylindrical multidimensional surfaces in Lobachevsky space

โœ Scribed by A. A. Borisenko

Publisher
Springer US
Year
1991
Tongue
English
Weight
629 KB
Volume
53
Category
Article
ISSN
1573-8795

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Confocal surfaces and integrable billiar
Confocal surfaces and integrable billiards on the sphere and in the Lobachevsky space
โœ Alexander P. Veselov ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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