Reduction in principal fiber bundles: covariant Euler-Poincare equations

1999/08/19 by Marco Castrillón López, Marco Castrillon Lopez, Lopez, Marco Castrillon +5
Engineering · Mathematics · Physics and Astronomy · #53C05 #53C10 #Computational Fluid Dynamics and Aerodynamics #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Numerical methods for differential equations #math-ph #math.DG #math.MP #msc:53C05 #msc:53C10

paper · pdf · doi:10.48550/arxiv.math/9908102

openalex publication_date 1999/08/19 · arxiv created 1999/08/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let π:P→ Mⁿ be a principal G-bundle, and let L: J¹P →Λⁿ(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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