Zoll magnetic systems on the two-torus: a Nash-Moser construction
DOI10.1016/J.AIM.2024.109826MaRDI QIDQ6608723
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Publication date: 20 September 2024
Published in: Advances in Mathematics (Search for Journal in Brave)
Hamiltonian systemsBessel functionsFourier integral operatorsNash-Moser implicit function theoremmagneticodesicsZoll flows
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of differential geometry to physics (53Z05) 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) Implicit function theorems; global Newton methods on manifolds (58C15) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
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