%0 Journal Article
%A Berbel López, Miguel Ángel
%A Castrillón López, Marco
%T Reduction (by stages) in the whole Lagrange-Poincaré category
%D 2022
%U https://hdl.handle.net/20.500.14352/126146
%X 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.
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