Castrillón López, MarcoRatiu, T.2023-06-202023-06-202003-050010-361610.1007/s00220-003-0797-5https://hdl.handle.net/20.500.14352/50862A 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.engjournal articlehttp://link.springer.com/article/10.1007%2Fs00220-003-0797-5http://link.springer.com/restricted access531/534principal bundlesreductionreconstructionLagrange-Poincaré equationsFísica matemáticaGeometría diferencial1204.04 Geometría Diferencial