Reduction of some classical non-holonomic systems with symmetry
type: Item
instance of: scholarly article
title: Reduction of some classical non-holonomic systems with symmetry
zbMATH Open document ID: 0753.70009
DOI: 10.1007/BF00375092
published in: Archive for Rational Mechanics and Analysis
publication date: 1992-09-27T00:00:00Z
review text: The concern of the paper is the reduction of classical non-holonomic Lagrangian systems with symmetry. Two cases are treated: (1) the configuration space is a Lie group \(G\) with left-invariant metric, (2) the configuration space is a principal bundle \(G\to P\to M\) and the constraint distribution defines a connection.
Mathematics Subject Classification ID: 70F25
Mathematics Subject Classification ID: 70G10
Mathematics Subject Classification ID: 53B50
zbMATH DE Number: 63706
zbMATH Keywords: Lagrangian systems
zbMATH Keywords: Lie group
zbMATH Keywords: left-invariant metric
zbMATH Keywords: principal bundle
zbMATH Keywords: constraint distribution
zbMATH Keywords: connection
author: Jair Koiller
reviewed by: Johannes Viktor Feitzinger
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00375092
OpenAlex ID: W2090100301
description: scientific article; zbMATH DE number 63706