Topology of isoenergy surfaces of billiard books glued of annuli

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)

Cites Work

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Billiard books model all three-dimensional bifurcations of integrable Hamiltonian systems
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Integrable billiard systems realize toric foliations on lens spaces and the 3-torus
Billiard books realize all bases of Liouville foliations of integrable Hamiltonian systems
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