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Multisymplectic Reduction for Proper Actions

Published online by Cambridge University Press:  20 November 2018

Jędrzej Śniatycki
Jędrzej Śniatycki*
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta email: sniat@math.ucalgary.ca
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Abstract

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We consider symmetries of the Dedonder equation arising from variational problems with partial derivatives. Assuming a proper action of the symmetry group, we identify a set of reduced equations on an open dense subset of the domain of definition of the fields under consideration. By continuity, the Dedonder equation is satisfied whenever the reduced equations are satisfied.

Keywords

58J7035A30Dedonder equationmultisymplectic structurereductionsymmetriesvariational problems
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 56 , Issue 3 , 01 June 2004 , pp. 638 - 654
Copyright
Copyright © Canadian Mathematical Society 2004

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