The Landau-Lifshitz Equation by Semidirect Product Reduction
Symplectic Geometry
2007-05-23 v3 Mathematical Physics
Differential Geometry
math.MP
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.
Keywords
Cite
@article{arxiv.math/9905085,
title = {The Landau-Lifshitz Equation by Semidirect Product Reduction},
author = {G. W. Patrick},
journal= {arXiv preprint arXiv:math/9905085},
year = {2007}
}
Comments
12 pages. A significant topological oversight was corrected. To appear Lett. Math. Phys