Euler-Poincaré reduction in principal bundles by a subgroup of the structure group

DOI10.1016/J.GEOMPHYS.2013.08.008zbMath1282.58005OpenAlexW2094775430MaRDI QIDQ391053

Pedro L. García, César Rodrigo, Marco Castrillón López

Publication date: 9 January 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2013.08.008

zbMATH Keywords

reductionvariational problemsEuler-Poincaré equationsmolecular strands

Mathematics Subject Classification ID

Exterior differential systems (Cartan theory) (58A15) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (8)

Symmetry reduction, integrability and reconstruction in \(k\)-symplectic field theory ⋮ Routh reduction of Palatini gravity in vacuum ⋮ Poisson-Poincaré reduction for field theories ⋮ Lagrangian reduction by stages in field theory ⋮ Dirac’s analysis and Ostrogradskii’s theorem for a class of second-order degenerate Lagrangians ⋮ Discrete Lagrange problems with constraints valued in a Lie group ⋮ The problem of Lagrange on principal bundles under a subgroup of symmetries ⋮ Discrete formulation for the dynamics of rods deforming in space

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• The Hamilton-Cartan formalism in the calculus of variations
• 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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