Abstract
If the space-time is a product of the space and the time the Poisson structure on the phase bundle is used to describe dynamics of mechanical systems. Further it is shown that if the space-time is a fibration over the time, then the Poisson structure has to be replaced by an affine Poisson structure.
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© 1994 Springer Science+Business Media New York
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Urbański, P. (1994). Affine Poisson Structures in Analytical Mechanics. In: Antoine, JP., Ali, S.T., Lisiecki, W., Mladenov, I.M., Odzijewicz, A. (eds) Quantization and Infinite-Dimensional Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2564-6_15
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DOI: https://doi.org/10.1007/978-1-4615-2564-6_15
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6095-7
Online ISBN: 978-1-4615-2564-6
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