Geometry of Routh reduction
type: Item
instance of: scholarly article
title: Geometry of Routh reduction
zbMATH Open document ID: 1448.70050
author: Katarzyna Grabowska
author: Paweł Urbański
published in: Journal of Geometric Mechanics
publication date: 2019-10-18T00:00:00Z
full work available at URL: https://arxiv.org/abs/1708.09769
Mathematics Subject Classification ID: 70H33
Mathematics Subject Classification ID: 53D20
Mathematics Subject Classification ID: 70H03
zbMATH DE Number: 7119237
zbMATH Keywords: Routh reduction
zbMATH Keywords: symmetries
zbMATH Keywords: Lagrangian mechanics
zbMATH Keywords: Hamiltonian mechanics
zbMATH Keywords: Tulczyjew triple
MaRDI profile type: Publication
OpenAlex ID: W2963258600
arXiv ID: 1708.09769
cites work: A Route to Routh — The Classical Setting
cites work: Q5690486
cites work: Q4425082
cites work: Hamiltonian structures and generating families
cites work: Routh’s procedure for non-Abelian symmetry groups
cites work: Q4021670
cites work: Variational calculus with constraints on general algebroids
cites work: AV-differential geometry: Poisson and Jacobi structures
cites work: AV-differential geometry: Euler-Lagrange equations
cites work: Tulczyjew triples in higher derivative field theory
cites work: Higher vector bundles and multi-graded symplectic manifolds
cites work: Double affine bundles
cites work: Tangent lifts of Poisson and related structures
cites work: Algebroids -- general differential calculi on vector bundles
cites work: Double vector bundles and duality
cites work: Routh reduction and the class of magnetic Lagrangian systems
cites work: Routhian reduction for quasi-invariant Lagrangians
cites work: Q3785520
cites work: Reduction theory and the Lagrange-Routh equations.
cites work: Finsler geodesics of Lagrangian systems through Routh reduction
cites work: Q4092689
cites work: Q4101207
cites work: Q4141817
cites work: Q3998417
cites work: Q3406514
cites work: A slow and careful Legendre transformation for singular Lagrangians
cites work: Q4295813
cites work: Q4425092
cites work: Q4398526
DOI: 10.3934/JGM.2019002
description: scientific article