2026-06-01T02:31:43Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/1261462025-11-18T00:49:06Zcom_20.500.14352_14col_20.500.14352_15
Reduction (by stages) in the whole Lagrange-Poincaré category
Berbel López, Miguel Ángel
Castrillón López, Marco
Lagrange-Poincaré category
Lie group action
Noether theorem
Reduction
Symmetry
Matemáticas (Matemáticas)
12 Matemáticas
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.
Ministerio de Ciencia e Innovación
Junta de Castilla y León
Depto. de Álgebra, Geometría y Topología
Fac. de Ciencias Matemáticas
TRUE
pub
2025-11-17T18:43:54Z
2025-11-17T18:43:54Z
2022
journal article
https://hdl.handle.net/20.500.14352/126146
XXXX-XXXX
10.4310/ATMP.2022.v26.n8.a2
eng
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-098321-B-I00/ES/COMBINATORIA Y DINAMICA: ASPECTOS GEOMETRICOS Y TOPOLOGICOS EN VARIEDADES/
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2021-126124NB-I00/ES/ESTRUCTURAS GEOMETRICAS, TOPOLOGICAS Y COMBINATORIAS ASOCIADAS A SISTEMAS DINAMICOS/
SA090G19
open access
application/pdf
International Press