Liouville classification of integrable Hamiltonian systems on surfaces of revolution

DOI10.3103/S002713221505006XzbMath1371.37108OpenAlexW2298128854MaRDI QIDQ255770

E. O. Kantonistova

Publication date: 9 March 2016

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s002713221505006x

Mathematics Subject Classification ID

Geodesic flows in symplectic geometry and contact geometry (53D25)

Related Items (3)

Liouville classification of integrable geodesic flows in a potential field on two-dimensional manifolds of revolution: the torus and the Klein bottle ⋮ Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards ⋮ Three-Dimensional Manifolds of Constant Energy and Invariants of Integrable Hamiltonian Systems

Cites Work

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• Integer lattices of the action variables for the generalized Lagrange case
• Integer lattices of action-angle variables for ``spherical pendulum system
• Liouville integrability of Hamiltonian systems on Lie algebras
• THE TOPOLOGY OF INTEGRAL SUBMANIFOLDS OF COMPLETELY INTEGRABLE HAMILTONIAN SYSTEMS
• The method of loop molecules and the topology of the Kovalevskaya top

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