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ISSN 1088-6826(e) ISSN 0002-9939(p)

Reduction in principal fiber bundles: Covariant Euler-Poincaré equations

Author(s): Marco Castrillón López; Tudor S. Ratiu; Steve Shkoller
Journal: Proc. Amer. Math. Soc. 128 (2000), 2155-2164.
MSC (1991): Primary 53C05, 53C10
Posted: November 1, 1999
MathSciNet review: 1662269
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Abstract: Let $\pi:P\rightarrow M^n$ be a principal -bundle, and let ${\mathcal{L}}:J^1P \rightarrow \Lambda^n(M)$ be a -invariant Lagrangian density. We obtain the Euler-Poincaré equations for the reduced Lagrangian defined on ${\mathcal C}(P)$ , the bundle of connections on .

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2.: D.J. Eck, Gauge-natural bundles and generalized gauge theories, Mem. Amer. Math. Soc. 247 (1981). MR 84a:58015
3.: J. Eells, L. Lemaire, A Report on Harmonic Maps, Bull. London Math. Soc., 10 (1978), 1-68. MR 82b:58033
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Additional Information:

Marco Castrillón López
Affiliation: Departmento de Geometría y Topología, Universidad Complutense de Madrid, 28040 Madrid, Spain
Email: mcastri@mat.ucm.es

Tudor S. Ratiu
Affiliation: Departement de Mathematiques, Ecole Polytechnique federale, Lausanne, CH - 1015 Lausanne, Switzerland
Email: ratiu@masg1.epfl.ch

Steve Shkoller
Affiliation: CNLS, MS-B258, Los Alamos, New Mexico 87545 -- CDS, California Institute of Technology, 107-81, Pasadena, California 91125 -
Address at time of publication: Department of Mathematics, University of California, Davis, California 95616
Email: shkoller@math.ucdavis.edu

DOI: 10.1090/S0002-9939-99-05304-6
PII: S 0002-9939(99)05304-6
Received by editor(s): August 24, 1998
Posted: November 1, 1999
Communicated by: Roe Goodman
Copyright of article: Copyright 2000, American Mathematical Society

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