TY - JOUR AU - Castrillón López, Marco AU - García Pérez, P.L AU - Ratiu, T.S. PY - 2001 DO - 10.1023/A:1013303320765 SN - 0377-9017 UR - https://hdl.handle.net/20.500.14352/58890 T2 - Letters in Mathematical Physics AB - Let G be a Lie group and let L:TG→R be a Lagrangian invariant under the natural action of G on its tangent bundle. Then L induces a function l:(TG)/G≅g→R called the reduced Lagrangian, g being the Lie algebra of G. As is well known, the Euler-Lagrange... LA - eng M2 - 167 PB - Kluwer Academic KW - calculus of variations KW - Euler–Poincaré equations KW - reconstruction KW - reduction KW - symmetries. TI - Euler-Poincaré reduction on principal bundles TY - journal article VL - 58 ER -