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Invariant Euler–Lagrange Equations and the Invariant Variational Bicomplex

Invariant Euler–Lagrange Equations and the Invariant Variational Bicomplex In this paper, we derive an explicit group-invariant formula for the Euler–Lagrange equations associated with an invariant variational problem. The method relies on a group-invariant version of the variational bicomplex induced by a general equivariant moving frame construction, and is of independent interest. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Invariant Euler–Lagrange Equations and the Invariant Variational Bicomplex

Acta Applicandae Mathematicae , Volume 76 (2) – Oct 5, 2004

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References (49)

Publisher
Springer Journals
Copyright
Copyright © 2003 by Kluwer Academic Publishers
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1023/A:1022993616247
Publisher site
See Article on Publisher Site

Abstract

In this paper, we derive an explicit group-invariant formula for the Euler–Lagrange equations associated with an invariant variational problem. The method relies on a group-invariant version of the variational bicomplex induced by a general equivariant moving frame construction, and is of independent interest.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Oct 5, 2004

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