Topological type of isoenergy surfaces of billiard books

DOI10.1070/SM9528zbMath1495.37051OpenAlexW3207529020MaRDI QIDQ3391028

V. V. Vedyushkina

Publication date: 28 March 2022

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

Full work available at URL: https://doi.org/10.1070/sm9528

zbMATH Keywords

integrable systemFomenko-Zieschang invariantLiouville equivalencebilliard book

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)

Related Items (2)

Modeling the degenerate singularities of integrable billiard systems by billiard books ⋮ Topology of Liouville foliations of integrable billiards on table-complexes

Cites Work

• Billiard dynamics: a survey with the emphasis on open problems
• Isoenergetic manifolds of integrable billiard books
• A topological classification of billiards in locally planar domains bounded by arcs of confocal quadrics
• Integrable billiard systems realize toric foliations on lens spaces and the 3-torus
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