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arxiv: math-ph/0602016 · v2 · submitted 2006-02-07 · 🧮 math-ph · math.DS· math.MP· nlin.SI

Magnetic Geodesic Flows on Coadjoint Orbits

classification 🧮 math-ph math.DSmath.MPnlin.SI
keywords magneticflowsgeodesicorbitsadjointclasscoadjointcompact
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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.

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