Magnetic Geodesic Flows on Coadjoint Orbits

Abstract

We describe a class of completely integrable $G$-invariant magnetic geodesic flows on (co)adjoint orbits of a compact connected Lie group $G$ with magnetic field given by the Kirillov-Konstant 2-form.

8 pages, final version

Cited by in corpus (3)

• Symmetries and Integrability
• Partial Reductions of Hamiltonian Flows and Hess-Appel'rot Systems on SO(n)
• Magnetic Flows on Homogeneous Spaces