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00925njm 22002777a 4500 dc Castrillón López, Marco author Ratiu, T. author 2003-05 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. 0010-3616 10.1007/s00220-003-0797-5 https://hdl.handle.net/20.500.14352/50862 http://link.springer.com/article/10.1007%2Fs00220-003-0797-5 http://link.springer.com/ Reduction in principal bundles: covariant Lagrange-Poincaré equations.