RT Journal Article
T1 Reduction in principal bundles: covariant Lagrange-Poincaré equations.
A1 Castrillón López, Marco
A1 Ratiu, T.
AB 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.
PB Springer
SN 0010-3616
YR 2003
FD 2003-05
LK https://hdl.handle.net/20.500.14352/50862
UL https://hdl.handle.net/20.500.14352/50862
LA eng
NO DGESIC
NO European Commission and the Swiss Federal Government
NO Research Training Network Mechanics and Symmetry in Europe (MASIE)
NO Swiss National Science Foundation.
DS Docta Complutense
RD 16 abr 2025