Authors
Citation
Mc. Lopez et al., Reduction in principal fiber bundles: Covariant Euler-Poincare equations, P AM MATH S, 128(7), 2000, pp. 2155-2164
Citations number
8
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939
→ ACNP
Volume
128
Issue
7
Year of publication
2000
Pages
2155 - 2164
Database
ISI
SICI code
0002-9939(2000)128:7<2155:RIPFBC>2.0.ZU;2-K
Abstract
Let pi : P --> M-n be a principal G-bundle, and let L : J(1) P --> Lambda(n
) (M) be a G-invariant Lagrangian density. We obtain the Euler-Poincare equ
ations for the reduced Lagrangian l defined on C (P), the bundle of connect
ions on P.