Geodesic
Multisymplectic Reduction for Proper Actions
Canadian journal of mathematics, Tome 56 (2004) no. 3, pp. 638-654

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CJM-2004-029-8
Mots-clés : 58J70, 35A30, Dedonder equation, multisymplectic structure, reduction, symmetries, variational problems 
Śniatycki, Jędrzej. Multisymplectic Reduction for Proper Actions. Canadian journal of mathematics, Tome 56 (2004) no. 3, pp. 638-654. doi: 10.4153/CJM-2004-029-8
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