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OverviewHigh Quality Content by WIKIPEDIA articles! In mathematics, a Poisson manifold is a differential manifold M such that the algebra C (M) of smooth functions over M is equipped with a bilinear map called the Poisson bracket, turning it into a Poisson algebra. Every symplectic manifold is a Poisson manifold but not vice versa. For a symplectic manifold, is nothing other than the pairing between tangent and cotangent bundle induced by the symplectic form, which exists because it is nondegenerate. The difference between a symplectic manifold and a Poisson manifold is that the symplectic form must be nowhere singular, whereas the Poisson bivector does not need to be of full rank everywhere. When the Poisson bivector is zero everywhere, the manifold is said to possess the trivial Poisson structure. Full Product DetailsAuthor: Lambert M. Surhone , Mariam T. Tennoe , Susan F. HenssonowPublisher: VDM Publishing House Imprint: VDM Publishing House Dimensions: Width: 22.90cm , Height: 0.40cm , Length: 15.20cm Weight: 0.128kg ISBN: 9786131245282ISBN 10: 6131245282 Pages: 78 Publication Date: 14 August 2010 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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