Confocal surfaces and integrable billiar
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Alexander P. Veselov
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Article
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1990
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Elsevier Science
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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