On the rigidity of Zoll magnetic systems on surfaces

DOI10.1088/1361-6544/ab839czbMath1444.37050arXiv1910.03285OpenAlexW2980123292MaRDI QIDQ5113314

Christian Lange, Luca Asselle

Publication date: 4 June 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.03285

zbMATH Keywords

closed geodesicsmagnetic flowsclosed oriented surfacewaistsZoll systems

Mathematics Subject Classification ID

Motion of charged particles (78A35) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) 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 (2)

Normal forms for strong magnetic systems on surfaces: trapping regions and rigidity of Zoll systems ⋮ Integrable magnetic flows on the two-torus: Zoll examples and systolic inequalities

Cites Work

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• The motion of a charged particle on a Riemannian surface under a non-zero magnetic field
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