RT Journal Article T1 Reduction (by stages) in the whole Lagrange-Poincaré category A1 Berbel López, Miguel Ángel A1 Castrillón López, Marco AB We study the reduction scheme in the whole LP category, introduced in [7] to perform Lagrangian reduction by stages. We answer affirmatively the open question of whether reduction can be done in the whole category. Furthermore, we analyze the Noether theorem on LP-bundles, the relationship with Hamiltonian reduction by stages and some geometric aspects of the definition of this category. PB International Press YR 2022 FD 2022 LK https://hdl.handle.net/20.500.14352/126146 UL https://hdl.handle.net/20.500.14352/126146 LA eng NO Ministerio de Ciencia e Innovación NO Junta de Castilla y León DS Docta Complutense RD 21 mar 2026