Castrillón López, Marco2023-06-202023-06-2020120167-801910.1007/s10440-012-9695-1https://hdl.handle.net/20.500.14352/43804The goal of this short note is to show the geometric structure of the Euler-Poincaré reduction procedure in Field Theories with special emphasis on the nature of the set of variations and the set of admissible sections. The method of Lagrange multipliers is also applied for a deeper study of these constraints.engjournal articlehttp://link.springer.com/article/10.1007%2Fs10440-012-9695-1restricted access514.745Euler-Poincaré equations Lagrange multipliers Reduction Symmetries Variational calculusGeometría diferencial1204.04 Geometría Diferencial