Published February 1986
| public
Journal Article
Reduction of Poisson manifolds
- Creators
- Marsden, Jerrold E.
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Ratiu, Tudor
Chicago
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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.
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.Additional details
- Eprint ID
- 19785
- Resolver ID
- CaltechAUTHORS:20100903-110207789
- Department of Energy (DOE)
- DE-AT03-85ER 12097
- A. P. Sloan Foundation fellowship
- Created
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2010-09-09Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field