Montgomery, Richard and Marsden, Jerrold and Ratiu, Tudor (1984) Gauged Lie-Poisson structures. In: Fluids and plasmas : geometry and dynamics. Contemporary mathematics (28). American Mathematical Society , Boulder, Colorado, pp. 101-114. ISBN 0821850288 http://resolver.caltech.edu/CaltechAUTHORS:20100913-074315409
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Abstract
A global formula for Poisson brackets on reduced cotangent bundles of principal bundles is derived. The result bears on the basic constructions for interacting systems due to Sternberg and Weinstein and on Poisson brackets involving semi-direct products for fluid and plasma systems. The formula involves Lie-Poisson structures, canonical brackets, and curvature terms.
| Item Type: | Book Section | ||||||
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| Additional Information: | © 1984 American Mathematical Society. Research partially supported by DOE contract DE-AT03-82ER12097. Research supported by an NSF postdoctoral fellowship. | ||||||
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| Classification Code: | 1980 MSC: 58F05, 58F1 O. | ||||||
| Record Number: | CaltechAUTHORS:20100913-074315409 | ||||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20100913-074315409 | ||||||
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| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 19882 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Ruth Sustaita | ||||||
| Deposited On: | 16 Sep 2010 20:58 | ||||||
| Last Modified: | 26 Dec 2012 12:24 |
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