On first integrals of two-dimensional geodesic flows

DOI10.1134/S0037446620040011zbMath1453.37056OpenAlexW3046579151MaRDI QIDQ2203435

Sergey Agapov

Publication date: 7 October 2020

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446620040011

zbMATH Keywords

magnetic fieldgeodesic flowfirst integral

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) 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)

Related Items (4)

Some remarks on high degree polynomial integrals of the magnetic geodesic flow on the two-dimensional torus ⋮ Integrable magnetic geodesic flows on 2-surfaces ^* ⋮ New examples of non-polynomial integrals of two-dimensional geodesic flows ^* ⋮ Rational integrals of 2-dimensional geodesic flows: new examples

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