Integrable billiard systems realize toric foliations on lens spaces and the 3-torus

DOI10.1070/SM9189zbMath1443.37043OpenAlexW2980370089MaRDI QIDQ5112427

V. V. Vedyushkina

Publication date: 29 May 2020

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9189

zbMATH Keywords

integrable systemFomenko-Zieschang invariantLiouville equivalencebilliard system

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Integrable cases of motion in rigid body dynamics (70E40) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

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