Moving frames
type: Item
instance of: scholarly article
title: Moving frames
zbMATH Open document ID: 1076.53017
DOI: 10.1016/S0747-7171(03)00092-0
author: Peter J. Olver
published in: Journal of Symbolic Computation
publication date: 2004-08-20T00:00:00Z
review text: The author gives an overview of recent developments in the general theory of moving frames. He defines a moving frame as a smooth \(G\)-equivariant map \(M\to G\), where \(G\) is a Lie group acting smoothly on a manifold \(M\). After addressing the problem of local existence he discusses two methods for computing differential invariants: by normalization and by invariant differentiation of lower order invariants. The method is illustrated using the simple example of curves in the Euclidean plane; for details of the theory and applications the reader is referred to the impressive list of references.
reviewed by: Udo Hertrich-Jeromin
Mathematics Subject Classification ID: 53A55
Mathematics Subject Classification ID: 53B25
zbMATH DE Number: 2093527
zbMATH Keywords: moving frame
zbMATH Keywords: symmetry
zbMATH Keywords: Lie group
zbMATH Keywords: differential invariant
zbMATH Keywords: jet
zbMATH Keywords: syzygy
zbMATH Keywords: signature
MaRDI profile type: Publication
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full work available at URL: s0747-7171(03)00092-0
OpenAlex ID: W2914333395
description: scientific article; zbMATH DE number 2093527