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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/2764

Title: Magnetic flows on homogeneous spaces
Authors: Bolsinov, Alexey V.
Jovanović, Božidar
Issue Date: 2007
Abstract: We 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.
Description: This is a pre-print.
URI: https://dspace.lboro.ac.uk/2134/2764
Appears in Collections:Pre-prints (Maths)

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