The Landau-Lifshitz Equation by Semidirect Product Reduction

Details The Landau-Lifshitz Equation by Semidirect Product Reduction The Landau-Lifshitz Equation by Semidirect Product Reduction

1999-05-13

arxiv.org/abs/math/9905085v3

Mathematics

Symplectic Geometry

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

Scientific paper

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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