Remarks on multisymplectic reduction

Abstract

The problem of reduction of multisymplectic manifolds by the action of Lie groups is stated and discussed, as a previous step to give a fully covariant scheme of reduction for classical field theories with symmetries.

9 pages. The definition of bracket of Hamiltonian forms has been corrected (and an acknowledgment to Prof. C. Blacker has been added in the "Acknowledgments")

References in corpus (1)

• Euler-Poincare reduction for discrete field theories

Cited by in corpus (10)

• Multicontact formulation for non-conservative field theories
• Reduction of multisymplectic manifolds
• Contact Lie systems
• More insights into symmetries in multisymplectic field theories
• Quantization of Polysymplectic Manifolds
• Poisson-Poincaré reduction for Field Theories
• On k-polycosymplectic Marsden-Weinstein reductions
• Routh reduction for first-order field theories
• Reduction and reconstruction of multisymplectic Lie systems
• Hamiltonian Reduction in Affine Principal Bundles