Constraints in Euler-Poincaré reduction of field theories

DOI10.1007/s10440-012-9695-1zbMath1277.70032OpenAlexW2137890152MaRDI QIDQ384065

Marco Castrillón López

Publication date: 25 November 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9695-1

zbMATH Keywords

Lagrange multipliersvariational calculusreductionsymmetriesEuler-Poincaré equations

Mathematics Subject Classification ID

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 (1)

Differential geometry, Palatini gravity and reduction

Cites Work

• Discrete versions of some classical integrable systems and factorization of matrix polynomials
• Multisymplectic geometry, variational integrators, and nonlinear PDEs
• Some remarks on Lagrangian and Poisson reduction for field theories.
• Euler-Poincaré reduction in principal fibre bundles and the problem of Lagrange
• The Hamilton-Cartan formalism in the calculus of variations
• Euler-Poincaré reduction for discrete field theories
• The geometry of the bundle of connections
• Euler-Poincaré reduction on principal bundles
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