Symmetries in covariant classical mechanics. (Q2738221)
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scientific article; zbMATH DE number 1639381
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetries in covariant classical mechanics. |
scientific article; zbMATH DE number 1639381 |
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30 August 2001
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classical mechanics
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symmetries
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momentum map
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0.92521346
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0.9103307
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0.89501005
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0.8863827
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Symmetries in covariant classical mechanics. (English)
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The aim of this paper is to analyze in a systematic way the symmetries in the covariant Galilei theory, proposed originally by \textit{A. Jadczyk} and \textit{M. Modugno} [in: Cerdonio, M. (ed.) et al., General relativity and gravitational physics. Proceedings of the 10th Italian conference, Bardonecchia, Italy, 1992. Singapore: World Scientific, 319--337 (1994; Zbl 1004.83518)], i.e. the covariant classical mechanics on a curved space-time with absolute time. The set of natural bijections between geometric objects related to the dynamics is found and the conserved quantities are studied through a momentum map associated to the action of a symmetry group of the above theory. Three simple examples are treated to illustrate the theory.
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