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Moving Frames for Lie Pseudo–Groups

Published online by Cambridge University Press:  20 November 2018

Peter J. Olver and
Juha Pohjanpelto
Peter J. Olver
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455 USA e-mail: olver@math.umn.edu
Juha Pohjanpelto
Affiliation:
Department of Mathematics, Oregon State University, Corvallis, OR 97331 USA e-mail: juha@math.oregonstate.edu
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Abstract

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We propose a new, constructive theory of moving frames for Lie pseudo-group actions on submanifolds. The moving frame provides an effective means for determining complete systems of differential invariants and invariant differential forms, classifying their syzygies and recurrence relations, and solving equivalence and symmetry problems arising in a broad range of applications.

Keywords

58A1558A2058H0558J70

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 60 , Issue 6 , 01 December 2008, pp. 1336 - 1386
Copyright
Copyright © Canadian Mathematical Society 2008

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