Castrillón López, Marco; Ratiu, Tudor S.; Shkoller, Steve Reduction in principal fiber bundles: Covariant Euler-Poincaré equations. (English) Zbl 0967.53019 Proc. Am. Math. Soc. 128, No. 7, 2155-2164 (2000). Authors’ summary: 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-Poincaré equations for the reduced Lagrangian \(l\) define on \({\mathcal C}(P)\), the bundle of connections on \(P\). Reviewer: A.D.Osborne (Keele) Cited in 26 Documents MSC: 53C05 Connections (general theory) 53C10 \(G\)-structures Keywords:Lagrangian density; Euler-Poincaré equations PDFBibTeX XMLCite \textit{M. Castrillón López} et al., Proc. Am. Math. Soc. 128, No. 7, 2155--2164 (2000; Zbl 0967.53019) Full Text: DOI arXiv