Geometry of integrable billiards and pen
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Vladimir Dragović; Milena Radnović
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Article
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2006
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Elsevier Science
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English
⚖ 362 KB
We study the deep interplay between geometry of quadrics in d-dimensional space and the dynamics of related integrable billiard systems. Various generalizations of Poncelet theorem are reviewed. The corresponding analytic conditions of Cayley's type are derived giving the full description of periodi