Alexandrov-embedded closed magnetic geodesics on S2

DOI10.1017/S0143385711000289zbMath1252.53050arXiv0903.1128OpenAlexW2963587625MaRDI QIDQ3166362

Matthias Schneider

Publication date: 11 October 2012

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1128

zbMATH Keywords

closed 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)

Related Items (5)

Existence of curves with constant geodesic curvature in a Riemannian 2-sphere ⋮ On the existence of closed \(C^{1, 1}\) curves of constant curvature ⋮ On geodesic flows with symmetries and closed magnetic geodesics on orbifolds ⋮ Infinitely many noncontractible closed magnetic geodesics on non-compact manifolds ⋮ The contact property for symplectic magnetic fields on

Cites Work

• Unnamed Item
• New generalizations of Poincaré's geometric theorem
• A general approach to Morse theory
• Applications of Hofer's geometry to Hamiltonian dynamics
• The isoperimetric inequality
• Geometry of the Katok examples
• On the existence and non-existence of closed trajectories for some Hamiltonian flows

This page was built for publication: Alexandrov-embedded closed magnetic geodesics on S²