Magnetic flows of Anosov type

DOI10.2748/tmj/1178225145zbMath0938.37011OpenAlexW1981306962MaRDI QIDQ1365338

Norio Gouda

Publication date: 28 June 2000

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225145

zbMATH Keywords

Riemannian manifoldmagnetic fieldgeodesic flowAnosov flowclosed 2-form

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items

Killing submersions and magnetic curves, Fermi–Walker magnetic curves and Killing trajectories in 3D Riemannian manifolds, A theorem of Hadamard-Cartan type for Kähler magnetic fields, A note on hyperbolic flows in sub-Riemannian structures with transverse symmetries, On the rigidity of magnetic systems with the same magnetic geodesics, Magnetic curves in Sol₃, Kähler magnetic fields on Kähler manifolds of negative curvature, Magnetic Jacobi fields in 3-dimensional Sasakian space forms, A comparison theorem on crescents for Kähler magnetic fields, Magnetic Jacobi fields in Sasakian space forms, A comparison theorem on sectors for Kähler magnetic fields

Cites Work

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• Closed Surfaces Without Conjugate Points