The structure of infinitesimal symmetries of geodesic flows on a two-dimensional torus

DOI10.1070/SM1997V188N07ABEH000245zbMath0897.70012OpenAlexW2075683091WikidataQ114394626 ScholiaQ114394626MaRDI QIDQ4376839

N. V. Denisova

Publication date: 19 October 1998

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

Full work available at URL: https://doi.org/10.1070/sm1997v188n07abeh000245

zbMATH Keywords

Hamiltonian vector fieldfour-dimensional phase spacepolynomial symmetriesone-parameter symmetry groups

Mathematics Subject Classification ID

Hamilton's equations (70H05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Geodesic flows in symplectic geometry and contact geometry (53D25) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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