Marsden, Jerrold E. and Ratiu, Tudor (1986) Reduction of Poisson manifolds. Letters in Mathematical Physics, 11 (2). pp. 161-169. ISSN 0377-9017. doi:10.1007/BF00398428. https://resolver.caltech.edu/CaltechAUTHORS:20100903-110207789
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Abstract
Reduction in the category of Poisson manifolds is defined and some basic properties are derived. The context is chosen to include the usual theorems on reduction of symplectic manifolds, as well as results such as the Dirac bracket and the reduction to the Lie-Poisson bracket.
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| Additional Information: | © 1986 Springer Verlag. Received: 15 October 1985, this version: May 6, 1994. Research partially supported by DOE, contract DE-AT03-85ER 12097. Supported by an A. P. Sloan Foundation fellowship. We thank Ted Courant, Richard Montgomery, Jedrzej Sniatycki, and Alan Weinstein for helpful discussions. | |||||||||
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| Issue or Number: | 2 | |||||||||
| DOI: | 10.1007/BF00398428 | |||||||||
| Record Number: | CaltechAUTHORS:20100903-110207789 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20100903-110207789 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 19785 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 09 Sep 2010 16:07 | |||||||||
| Last Modified: | 08 Nov 2021 23:55 |
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