Magnetic Flows on Homogeneous Spaces

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dc.creatorBolsinov, Alexey V.
dc.creatorJovanovic, Bozidar
dc.date2006-09-02
dc.date2007-03-16
dc.date.accessioned2026-07-07T12:21:18Z
dc.date.available2026-07-07T12:21:18Z
dc.descriptionWe consider magnetic geodesic flows of the normal metrics on a class of homogeneous spaces, in particular (co)adjoint orbits of compact Lie groups. We give the proof of the non-commutative integrability of flows and show, in addition, for the case of (co)adjoint orbits, the usual Liouville integrability by means of analytic integrals. We also consider the potential systems on adjoint orbits, which are generalizations of the magnetic spherical pendulum. The complete integrability of such system is proved for an arbitrary adjoint orbit of a compact semisimple Lie group.
dc.description21 pages, minor changes, final version, to appear in Commentarii Mathematici Helvetici
dc.identifierhttps://arxiv.org/abs/math-ph/0609005
dc.identifierhttp://arxiv.org/abs/math-ph/0609005
dc.identifierComment. Math. Helv. 83 (2008), no. 3, 679-700
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213321
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subjectExactly Solvable and Integrable Systems
dc.subject70H06, 37J35, 53D25
dc.titleMagnetic Flows on Homogeneous Spaces
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