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The Landau-Lifshitz Equation by Semidirect Product Reduction

G. W. Patrick
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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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G. W. Patrick. 2000-03-23. The Landau-Lifshitz Equation by Semidirect Product Reduction. https://arxiv.org/abs/math/9905085

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