Four equivalent properties of integrable billiards

DOI10.1007/s11856-021-2110-8zbMath1470.37079arXiv1909.09028OpenAlexW3134817382MaRDI QIDQ2022794

Ivan Izmestiev, Alexei Glutsyuk, Sergei Tabachnikov

Publication date: 29 April 2021

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.09028

zbMATH Keywords

foliationRiemannian surfaceBirkhoff's conjectureGraves propertystrong evolution property

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items (4)

Remarks on Joachimsthal integral and Poritsky property ⋮ On curves with the Poritsky property ⋮ Fun problems in geometry and beyond ⋮ On the motion of billiards in ellipses

Cites Work

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