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    On Exact Poisson Structures

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    2004-401.pdf (217.8Kb)
    Date
    2004
    Author
    Yi, Yingfei
    Zhang, Xiang
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    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.
    URI
    http://hdl.handle.net/1853/29419
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    • School of Mathematics Faculty Publications [119]

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