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.
