Published October 2003
| public
Journal Article
Some remarks on Lagrangian and Poisson reduction for field theories
Abstract
Given a Hamiltonian system on a fiber bundle, the Poisson covariant formulation of the Hamilton equations is described. When the fiber bundle is a G-principal bundle and the Hamiltonian density is G-invariant, the reduction of this formulation is studied thus obtaining the analog of the Lie-Poisson reduction for field theories. The relation of this reduction with the Lagrangian reduction and the Lagrangian and Poisson reduction for electromagnetism are also analyzed.
Additional Information
© 2003 Elsevier. Received 17 December 2002; accepted 28 January 2003. Available online 2 April 2003. We thank Pedro Luis García, Jeffrey Lawson, Tudor Ratiu, Steve Shkoller and Jedrez Śniatycki for helpful remarks. The research of JEM was partially supported by NSF grant DMS-0204474 and a Max Planck research award, and MCL was partially supported by DGESIC (Spain) under grant no. BMF2000-1314 and Junta Castilla-Léon (Spain) under grant no. SA085-01.Additional details
- Eprint ID
- 19184
- DOI
- 10.1016/S0393-0440(03)00025-1
- Resolver ID
- CaltechAUTHORS:20100726-140606690
- DMS-0204474
- NSF
- BMF2000-1314
- DGESIC (Spain)
- SA085-01
- Junta Castilla-Léon (Spain)
- Created
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2010-07-27Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field