scientific article

zbMath1148.37308arXivmath/0302288MaRDI QIDQ3526691

Sergei Tabachnikov

Publication date: 25 September 2008

Full work available at URL: https://arxiv.org/abs/math/0302288

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

geodesic flowHamiltonian flowPompeiu problemmotion of a charged particleFinsler billiards

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Motion of charged particles (78A35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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Integrable magnetic flows on the two-torus: Zoll examples and systolic inequalities ⋮ Magnetic billiards: non-integrability for strong magnetic field; Gutkin type examples ⋮ A survey on polynomial in momenta integrals for billiard problems ⋮ Open problems, questions and challenges in finite- dimensional integrable systems ⋮ Counting periodic trajectories of Finsler billiards ⋮ Jacobi fields and conjugate points for a projective class of sprays ⋮ Polynomial non-integrability of magnetic billiards on the sphere and the hyperbolic plane ⋮ Finsler metrics on surfaces admitting three projective vector fields ⋮ When different norms lead to same billiard trajectories? ⋮ Almost every path structure is not variational

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