TY - JOUR AU - Castrillón López, Marco AU - Ratiu, Tudor S. AU - Shkoller, Steve PY - 1999 DO - 10.1090/S0002-9939-99-05304-6 SN - 0002-9939 UR - https://hdl.handle.net/20.500.14352/58908 T2 - Proceedings of the American Mathematical Society AB - In Lagrangian mechanics the simplest example of reduction is the Euler-Poincaré reduction. In this case, the configuration space is a Lie group G and the Lagrangian function L:TG→R is invariant under the natural action of the group on TG by right... LA - eng M2 - 2155 PB - American Mathematical Society KW - Euler-Poincaré equations. TI - Reduction in principal fiber bundles: covariant Euler-Poincaré equations. TY - journal article VL - 128 ER -