Published 2000
| Accepted Version
Book Section - Chapter
Open
An almost Poisson structure for the generalized rigid body equations
Chicago
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Abstract
In this paper we introduce almost Poisson structures on Lie groups which generalize Poisson structures based on the use of the classical Yang-Baxter identity. Almost Poisson structures fail to be Poisson structures in the sense that they do not satisfy the Jacobi identity.In the case of cross products of Lie groups, we show that an almost Poisson structure can be used to derive a system which is intimately related to a fundamental Hamiltonian integrable system — the generalized rigid body equations.
Additional Information
© 2000 IFAC. Research partially supported by NSF grant DMS- 9803181, AFOSR grant F49620-96-1-0100, and an NSF group infrastructure grant at the University of Michigan. Work supported in part by NSF grant DMS 91011964 and NATO grant CRG 910926. Research partially supported by the California Institute of Technology and NSF grant DMS-9802106. Work supported in part by NSF grant DMS-98-02378 and the Swiss NSF.Attached Files
Accepted Version - BlCrMaRa2000_1_.pdf
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Additional details
- Eprint ID
- 20341
- Resolver ID
- CaltechAUTHORS:20101007-134653427
- NSF
- DMS-9803181
- Air Force Office of Scientific Research (AFOSR)
- F49620-96-1-0100
- University of Michigan NSF group
- NSF
- DMS 91011964
- NATO
- CRG 910926
- Caltech
- NSF
- DMS-9802106
- NSF
- DMS-98-02378
- Swiss NSF
- Created
-
2010-11-22Created from EPrint's datestamp field
- Updated
-
2020-03-09Created from EPrint's last_modified field
- Series Name
- IFAC Workshop Series