Reduction (by stages) in the whole Lagrange Poincare category
Differential Geometry
2019-12-24 v1 Dynamical Systems
Abstract
We complete 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 and analyze the Noether theorem on LP-bundles, the relationship with Hamiltonian reduction by stages and the geometric aspects of the definition of this category.
Keywords
Cite
@article{arxiv.1912.10763,
title = {Reduction (by stages) in the whole Lagrange Poincare category},
author = {Marco Castrillon Lopez and Miguel Angel Berbel},
journal= {arXiv preprint arXiv:1912.10763},
year = {2019}
}
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35 pages