Topological classification of billiards bounded by confocal quadrics in three-dimensional Euclidean space

DOI10.1070/SM9588zbMath1497.37064OpenAlexW4200385114WikidataQ114102343 ScholiaQ114102343MaRDI QIDQ5072215

G. V. Belozerov

Publication date: 26 April 2022

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

Full work available at URL: https://doi.org/10.1070/sm9588

zbMATH Keywords

topological invariantsintegrable systembilliardLiouville foliationintegrable billiard

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) 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)

Related Items (1)

Topology of isoenergy 5-surfaces of a three-axial ellipsoid with a Hooke potential

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