The Landau-Lifshitz Equation by Semidirect Product Reduction

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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.
12 pages. A significant topological oversight was corrected. To appear Lett. Math. Phys

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Symplectic Geometry, Mathematical Physics, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/78501

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9905085
 http://arxiv.org/abs/math/9905085

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arXiv