Reduction in principal fiber bundles: covariant Euler-Poincare equations

Details Reduction in principal fiber bundles: covariant Euler-Poincare equations Reduction in principal fiber bundles: covariant Euler-Poincare equations

1999-08-19

arxiv.org/abs/math/9908102v2

Mathematics

Differential Geometry

Scientific paper

Let $\pi:P\to M^n$ be a principal G-bundle, and let ${\mathcal{L}}: J^1P
\to\Lambda^n(M)$ 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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