Commuting dual billiard maps

DOI10.1007/BF01264044zbMath0813.52003MaRDI QIDQ1340211

Sergei Tabachnikov

Publication date: 29 May 1995

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

affine planeconcentricclosed convex smooth curvedual billiard maphomothetic ellipses

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Affine analytic geometry (51N10)

Related Items

On curves with the Poritsky property ⋮ On commuting billiards in higher-dimensional spaces of constant curvature ⋮ Open problems, questions and challenges in finite- dimensional integrable systems ⋮ On 4-reflective complex analytic planar billiards ⋮ Dual billiards ⋮ Open problems on billiards and geometric optics ⋮ A baker's dozen of problems

Cites Work

• Confocal surfaces and integrable billiards on the sphere and in the Lobachevsky space
• Poncelet's theorem and dual billiards
• On the dual billiard problem
• Stable and Random Motions in Dynamical Systems
• Integrable maps
• Freund-Witten adelic formulae for Veneziano and Virasoro-Shapiro amplitudes