Topological classification of integrable geodesic billiards on quadrics in three-dimensional Euclidean space

DOI10.1070/SM9351zbMath1460.37058OpenAlexW3036495649WikidataQ114102347 ScholiaQ114102347MaRDI QIDQ5150224

G. V. Belozerov

Publication date: 10 February 2021

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

Full work available at URL: https://doi.org/10.1070/sm9351

zbMATH Keywords

integrable systemFomenko-Zieschang invariantLiouville equivalencegeodesic billiard

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) 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)

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