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arXiv math/9905085math.SGmath-phmath.DGmath.MP
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The Landau-Lifshitz Equation by Semidirect Product Reduction

G. W. Patrick

英文摘要:

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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