Closed magnetic geodesics on closed hyperbolic Riemann surfaces

DOI10.1112/plms/pds013zbMath1252.53049arXiv1009.1723OpenAlexW3102405521MaRDI QIDQ2909060

Matthias Schneider

Publication date: 29 August 2012

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.1723

zbMATH Keywords

Riemann surfacesclosed geodesicsmagnetic geodesicsperiodic geodesics

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

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Minimax periodic orbits of convex Lagrangian systems on complete Riemannian manifolds ⋮ Dirac-geodesics and their heat flows ⋮ On geodesic flows with symmetries and closed magnetic geodesics on orbifolds ⋮ Degree Theory of Immersed Hypersurfaces ⋮ Infinitely many noncontractible closed magnetic geodesics on non-compact manifolds ⋮ Magnetic geodesics on surfaces with singularities ⋮ Embedded loops in the hyperbolic plane with prescribed, almost constant curvature ⋮ Magnetic curves in the generalized Heisenberg group ⋮ The Lusternik–Fet theorem for autonomous Tonelli Hamiltonian systems on twisted cotangent bundles ⋮ The contact property for symplectic magnetic fields on ⋮ On the Conley conjecture for Reeb flows

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