Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards

DOI10.1070/IM8863zbMath1436.37068OpenAlexW2953680480WikidataQ127624956 ScholiaQ127624956MaRDI QIDQ5207129

A. T. Fomenko, V. V. Vedyushkina

Publication date: 7 January 2020

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

Full work available at URL: https://doi.org/10.1070/im8863

zbMATH Keywords

geodesic flowintegrable systemFomenko-Zieschang invariantLiouville equivalencetopological 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) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) 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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