Order reduction of the Euler-Lagrange equations of higher order invariant variational problems on frame bundles

DOI10.1007/s10587-011-0048-4zbMath1249.53029OpenAlexW1973856595MaRDI QIDQ2881232

J. Brajerčík

Publication date: 3 April 2012

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/196784

zbMATH Keywords

Euler-Lagrange equationsEuler-Poincaré reductionframe bundleinvariant Lagrangian

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

• A geometric theory of ordinary first order variational problems in fibered manifolds. II: Invariance
• Euler-Poincaré reduction in principal fibre bundles and the problem of Lagrange
• 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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