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A generalized Poisson bracket and an associated natural one-form
Published online by Cambridge University Press: 24 October 2008
Abstract
Starting from an arbitrary algebra in place of the algebra of smooth functions on a differentiable manifold M, we construct an algebra which generalizes the algebra of polynomial functions on T*M. We define a Poisson bracket on this algebra and show that it can be obtained from a natural one-form which generalizes the fundamental one-form on T*M.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 81 , Issue 1 , January 1977 , pp. 133 - 142
- Copyright
- Copyright © Cambridge Philosophical Society 1977
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