Reduction (by stages) in the whole Lagrange-Poincaré category

Berbel López, Miguel ÁngelCastrillón López, Marco2025-11-172025-11-17202210.4310/ATMP.2022.v26.n8.a2https://hdl.handle.net/20.500.14352/126146We 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.engReduction (by stages) in the whole Lagrange-Poincaré categoryjournal articlehttps://dx.doi.org/10.4310/ATMP.2022.v26.n8.a2open accessLagrange-Poincaré categoryLie group actionNoether theoremReductionSymmetryMatemáticas (Matemáticas)12 Matemáticas