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Reduction in principal fiber bundles: covariant Euler-Poincare equations

Marco Castrillon Lopez·Tudor S. Ratiu·Steve Shkoller
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Abstract

Let $π:P\to M^n$ be a principal G-bundle, and let ${\mathcal{L}}: J^1P \toΛ^n(M)$ be a G-invariant Lagrangian density. We obtain the Euler-Poincare equations for the reduced Lagrangian l defined on ${\mathcal C}(P)$, the bundle of connections on P.

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BibTeXRIS

Marco Castrillon Lopez, Tudor S. Ratiu, Steve Shkoller. 1999-08-20. Reduction in principal fiber bundles: covariant Euler-Poincare equations. https://arxiv.org/abs/math/9908102

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