On Exact Poisson Structures

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1853/29419

Title: On Exact Poisson Structures
Author: Yi, Yingfei ; Zhang, Xiang
Abstract: By studying the exactness of multi-linear vectors on an orientable smooth manifold M, we give some characterizations to exact Poisson structures defi ned on M and study general properties of these structures. Following recent works [12, 13, 15], we will pay particular attention to the classification of some special classes of exact Poisson structures such as Jacobian and quasihomogeneous Poisson structures. A characterization of exact Poisson structures which are invariant under the flow of a class of completely integrable systems will also be given.
Description: 1991 Mathematics Subject Classification. 53D17, 37K10, 70G60, 70G45, 70G65.
Type: Pre-print
URI: http://hdl.handle.net/1853/29419
Date: 2004
Contributor: Georgia Institute of Technology. School of Mathematics
Relation: CDSNS2004-401
Publisher: Georgia Institute of Technology
Subject: Exact Poisson structure
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