scientific article; zbMATH DE number 7318993

zbMath1462.37070MaRDI QIDQ4965828

Evgeniĭ Igorevich Antonov, I. K. Kozlov

Publication date: 10 March 2021

Full work available at URL: http://mathnet.ru/eng/cheb892

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zbMATH Keywords

geodesic flowFomenko-Zieschang invariantintegrable Hamiltonian systemslabeled molecule

Mathematics Subject Classification ID

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)

Cites Work

• Topological invariants of Liouville integrable Hamiltonian systems
• Topological classification of integrable Hamiltonian systems in a potential field on surfaces of revolution
• THE TOPOLOGY OF SURFACES OF CONSTANT ENERGY IN INTEGRABLE HAMILTONIAN SYSTEMS, AND OBSTRUCTIONS TO INTEGRABILITY
• Liouville classification of integrable geodesic flows in a potential field on two-dimensional manifolds of revolution: the torus and the Klein bottle
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