About Cartan geometrization of non-holonomic mechanics
type: Item
instance of: scholarly article
title: About Cartan geometrization of non-holonomic mechanics
zbMATH Open document ID: 1029.53050
DOI: 10.1016/S0393-0440(02)00118-3
published in: Journal of Geometry and Physics
publication date: 2003-03-23T00:00:00Z
review text: Cartan's equivalence method is used to geometrize non-holonomic mechanics by associating to such a system an Euclidean connection. This is supplemented by a detailed version of Cartan's affine generalized space. In an example a constrained particle in \(\mathbb{R}^3\) is illustrated using modern differential geometric tools.
Mathematics Subject Classification ID: 53C21
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 70F25
zbMATH DE Number: 1886808
zbMATH Keywords: Cartan
zbMATH Keywords: Geometrization
zbMATH Keywords: non-holonomic mechanics
zbMATH Keywords: affine generalized space
author: João Nuno Tavares
reviewed by: Johannes Viktor Feitzinger
MaRDI profile type: Publication
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full work available at URL: s0393-0440(02)00118-3
OpenAlex ID: W2043786954
description: scientific article; zbMATH DE number 1886808