On the Cohomology of Invariant Variational Bicomplexes

Authors

Ian M. Anderson, Utah State UniversityFollow
J. Pohjanpelto

Document Type

Article

Journal/Book Title/Conference

Acta Applicanda

Volume

41

Issue

1-3

Publisher

Springer

Publication Date

1995

First Page

3

Last Page

19

Abstract

Let Pi = E rarr M be a fiber bundle and let Gamma be an infinitesimal Lie transformation group acting onE. We announce various new results concerning the cohomology of the Gamma invariant variational bicomplex (OHgr Gamma *,* (Jinfin(E)), dH, dV) and the associated Gamma invariant Euler-Lagrange complex. As one application of our general theory, we completely solve the local invariant inverse problem of the calculus of variations for finite-dimensional infinitesimal Lie transformation groups.

Comments

Originally Published by Springer in Acta Applicandae Mathematicae http://www.springerlink.com/content/g14n61h22h180347/

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Recommended Citation

On the Cohomology of Invariant Variational Bicomplexes (with J. Poh- janpelto), Acta Applicanda 41(1995), 3–19.