Elliptical billiard systems and the full Poncelet’s theorem in n dimensions

DOI10.1063/1.530115zbMath0777.70010OpenAlexW2064089877MaRDI QIDQ4203212

B. Crespi, Shau-Jin Chang, Kang-jie Shi

Publication date: 8 September 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530115

zbMATH Keywords

confocal quadricsclosed skew polygonHart's lemmareflecting quadrics

Mathematics Subject Classification ID

Collision of rigid or pseudo-rigid bodies (70F35) Classical or axiomatic geometry and physics (51P05) Projective analytic geometry (51N15)

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Cites Work

• Asymptotic solution of eigenvalue problems
• A Poncelet theorem in space
• Elliptical billiards and Poncelet’s theorem
• Billiard systems on quadric surfaces and the Poncelet theorem
• Dynamical systems with elastic reflections