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Multisymplectic Reduction for Proper Actions

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Published:2004-06-01
Printed: Jun 2004
• Jędrzej Śniatycki
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Abstract

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: Dedonder equation, multisymplectic structure, reduction, symmetries, variational problems
 MSC Classifications: 58J70 - Invariance and symmetry properties [See also 35A30] 35A30 - Geometric theory, characteristics, transformations [See also 58J70, 58J72]

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