Reduction in principal fiber bundles: covariant Euler-Poincare equations

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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

Keywords

Differential Geometry, Mathematical Physics, 53C05; 53C10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/78980

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9908102
 http://arxiv.org/abs/math/9908102

Collections

arXiv