The Landau-Lifshitz equation by semidirect product reduction

Authors
Patrick, GW
Citation
Gw. Patrick, The Landau-Lifshitz equation by semidirect product reduction, LETT MATH P, 50(3), 1999, pp. 177-188
Citations number
6
Categorie Soggetti
Physics
Journal title
LETTERS IN MATHEMATICAL PHYSICS
ISSN journal
03779017 → ACNP
Volume
50
Issue
3
Year of publication
1999
Pages
177 - 188
Database
ISI
SICI code
0377-9017(199911)50:3<177:TLEBSP>2.0.ZU;2-4
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 sp atial isotropy to the reduced space is an example of semidirect product red uction by stages.