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Reduction in principal fiber bundles: Covariant Euler-Poincare equations
Authors
Lopez, MC
Ratiu, TS
Shkoller, S
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.