Lie theory, Riemannian geometry, and the dynamics of coupled rigid bodies
type: Item
instance of: scholarly article
title: Lie theory, Riemannian geometry, and the dynamics of coupled rigid bodies
zbMATH Open document ID: 0998.70004
DOI: 10.1007/PL00001521
author: R. Smith
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2000-12-13T00:00:00Z
review text: The authors provide a fine Riemannian geometric formulation of the dynamics of \(n\) coupled rigid bodies in terms of Lie group \(SE(3)\) and its Lie algebra \(se(3)\). Several aspects and consequences of this approach are discussed.
reviewed by: Marco Modugno
Mathematics Subject Classification ID: 70E55
Mathematics Subject Classification ID: 70G45
zbMATH DE Number: 1543020
zbMATH Keywords: Riemannian geometry
zbMATH Keywords: dynamics of coupled rigid bodies
zbMATH Keywords: Euclidean group
zbMATH Keywords: Lie group \(SE(3)\)
zbMATH Keywords: Lie algebra \(se(3)\)
MaRDI profile type: Publication
Wikidata QID: Q115390626
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description: scientific article; zbMATH DE number 1543020