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Mathematics
Symplectic Geometry
The Landau-Lifshitz Equation by Semidirect Product Reduction
G. W. Patrick
Abstract
The Landau-Lifshitz equation is derived as the reduction of a geodesic flow on the group of maps into the rotation group. Passing the symmetries of spatial isotropy to the reduced space is an example of semidirect product reduction by stages.
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Submitted on 13 May 1999 (v1), last revised 23 Mar 2000 (this version, v3)
Updated
arXiv.org
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