2026-08-22T19:38:44Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/508622023-08-25T13:01:22Zcom_20.500.14352_14col_20.500.14352_15
Reduction in principal bundles: covariant Lagrange-Poincaré equations.
Castrillón López, Marco
Ratiu, T.
531/534
principal bundles
reduction
reconstruction
Lagrange-Poincaré equations
Física matemática
Geometría diferencial
1204.04 Geometría Diferencial
A general reduction theory for field theoretical Lagrangians on principal fiber bundles is presented. The reduced variational problem as well as the associated equations are formulated. The link between the solutions of the original problem and that of the reduced problem is discussed and an obstruction to the reconstruction of the solutions is isolated. The important case of semidirect products is discussed in detail and several concrete examples are presented.
DGESIC
European Commission and the Swiss Federal Government
Research Training Network Mechanics and Symmetry in Europe (MASIE)
Swiss National Science Foundation.
Depto. de Álgebra, Geometría y Topología
Fac. de Ciencias Matemáticas
TRUE
pub
2023-06-20T10:38:22Z
2023-06-20T10:38:22Z
2003-05
journal article
https://hdl.handle.net/20.500.14352/50862
0010-3616
10.1007/s00220-003-0797-5
eng
BMF2000- 1314
restricted access
application/pdf
Springer