Covariant and dynamical reduction for principal bundle field theories

DOI10.1007/S10455-008-9108-XzbMath1162.83347OpenAlexW2159334522MaRDI QIDQ1014880

Jerrold E. Marsden, Marco Castrillón López

Publication date: 29 April 2009

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-008-9108-x

zbMATH Keywords

variational calculusreductionsymmetriesEuler-Poincare equations

Mathematics Subject Classification ID

Variational inequalities (49J40) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (6)

Invariant variational problems on homogeneous spaces ⋮ Hamel's formalism for classical field theories ⋮ Poisson-Poincaré reduction for field theories ⋮ On \(k\)-polycosymplectic Marsden-Weinstein reductions ⋮ Conservation laws as part of Lagrangian reduction. Application to image evolution ⋮ A new Lagrangian dynamic reduction in field theory

Cites Work

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• Hamiltonian reduction by stages
• Some remarks on Lagrangian and Poisson reduction for field theories.
• Reduction in principal bundles: covariant Lagrange-Poincaré equations
• Lagrangian reduction by stages
• Reduction in principal fiber bundles: Covariant Euler-Poincaré equations
• The geometry of the bundle of connections
• Euler-Poincaré reduction on principal bundles

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