Marsden, Jerrold E. and Ratiu, Tudor (1986) Reduction of Poisson manifolds. Letters in Mathematical Physics, 11 (2). pp. 161-169. ISSN 0377-9017 http://resolver.caltech.edu/CaltechAUTHORS:20100903-110207789
![[img]](http://authors.library.caltech.edu/style/images/fileicons/application_pdf.png) |
PDF
- Published Version
Restricted to Repository administrators only See Usage Policy. 195Kb |
Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20100903-110207789
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.
| Item Type: | Article | ||||||
|---|---|---|---|---|---|---|---|
| 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. | ||||||
| Funders: |
| ||||||
| Record Number: | CaltechAUTHORS:20100903-110207789 | ||||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20100903-110207789 | ||||||
| Related URLs: | |||||||
| 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: | 26 Dec 2012 12:23 |
Repository Staff Only: item control page
