Reduction in principal fiber bundles: covariant Euler-Poincare equations
Lopez, Marco Castrillon ; Ratiu, Tudor S. ; Shkoller, Steve
arXiv, 9908102 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1999-08-19
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  53C05,  53C10 
@article{9908102,
     author = {Lopez, Marco Castrillon and Ratiu, Tudor S. and Shkoller, Steve},
     title = {Reduction in principal fiber bundles: covariant Euler-Poincare equations},
     journal = {arXiv},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9908102}
}

Lopez, Marco Castrillon; Ratiu, Tudor S.; Shkoller, Steve. Reduction in principal fiber bundles: covariant Euler-Poincare equations. arXiv, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/9908102/