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Variational principles on principal fiber bundles: A geometry theory of Clebsch potentials and Lin constraints

Cendra, Hernan and Ibort, Alberto and Marsden, Jerrold (1987) Variational principles on principal fiber bundles: A geometry theory of Clebsch potentials and Lin constraints. Journal of Geometry and Physics, 4 (2). pp. 183-205. ISSN 0393-0440. http://resolver.caltech.edu/CaltechAUTHORS:20100726-150945057

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Abstract

The geometric theory of Lin constraints and variational principles in terms of Clebsch variables proposed recently by Cendra and Marsden [1987] will be generalized to include those systems defined not only on configuration spaces which are products of Lie groups and vector spaces but on configuration spaces which are principal bundles with structural group G. This generalization includes, for example, fluids with free boundaries, Yang-Mills fields, and it will be very useful, as it will be shown later, to illustrate some aspects of the theory of particles moving in a Yang-Mills field in both its variational and Hamiltonian aspects.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/0393-0440(87)90026-XDOIUNSPECIFIED
http://www.cds.caltech.edu/~marsden/bib/1987/09-CeIbMa1987/CeIbMa1987.pdfAuthorUNSPECIFIED
Additional Information:© 1987 Elsevier. Received 23 August 1987. Available online 8 August 2002. Manuscript received; August 23,1987. Research partially supported by NSF Contract DMS 87 - 02502.
Funders:
Funding AgencyGrant Number
NSFDMS 87 - 02502
Subject Keywords:Variational Principles; Principal Bundles; Yang-Mills fields
Classification Code:MSC: 53C; 58 E 30; 70 H
Record Number:CaltechAUTHORS:20100726-150945057
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20100726-150945057
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:19189
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:27 Jul 2010 02:45
Last Modified:26 Dec 2012 12:16

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