Reduction in Principal Fiber Bundles: Covariant Euler-poincaré Equations
نویسندگان
چکیده
Let π : P → Mn be a principal G-bundle, and let L : JP → Λn(M) be a G-invariant Lagrangian density. We obtain the Euler-Poincaré equations for the reduced Lagrangian l defined on C(P ), the bundle of connections on P .
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تاریخ انتشار 2008