Euler-Poincaré reduction on frame bundles

DOI10.1016/J.DIFGEO.2011.04.005zbMath1225.53022OpenAlexW2034969406WikidataQ115356925 ScholiaQ115356925MaRDI QIDQ719813

J. Brajerčík

Publication date: 12 October 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.04.005

zbMATH Keywords

Lagrange equationsEulerframe bundleinvariant LagrangianPoincaré reduction

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Jets in global analysis (58A20) Connections (general theory) (53C05) (G)-structures (53C10)

Cites Work

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• A geometric theory of ordinary first order variational problems in fibered manifolds. II: Invariance
• Variational formulation of Chern--Simons theory for arbitrary Lie groups
• Euler-Poincaré reduction in principal fibre bundles and the problem of Lagrange
• Connections and 1-jet fiber bundles
• Variational principles for locally variational forms
• Reduction in principal fiber bundles: Covariant Euler-Poincaré equations
• Euler-Poincaré reduction on principal bundles

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