Reduction in principal fiber bundles:: Covariant Euler-Poincare equations

被引：39

作者：

López, MC ^{[1
]}

Ratiu, TS

Shkoller, S

机构：

[1] Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland

[2] CNLS, Los Alamos, NM 87545 USA

[3] CALTECH, CDS, Pasadena, CA 91125 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 07期

关键词：

D O I：

10.1090/S0002-9939-99-05304-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 equations for the reduced Lagrangian l defined on C (P), the bundle of connections on P.

引用

页码：2155 / 2164

页数：10