An example of a geodesic flow on a Klein bottle that is integrable by a polynomial of degree four in momenta

zbMATH Open0913.58046MaRDI QIDQ1275988

Vladimir S. Matveev

Publication date: 14 January 1999

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

zbMATH Keywords

integrabilityHamiltonian systemgeodesic flow on \(M^2\)

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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