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Pure Mathematics 2021
余切群胚的辛约化
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Abstract:
[1] | Arnold, V. (1966) Sur la gèométrie diffèrentielle des groupes de Lie de dimension infinie et ses applications à l’hydrodynamique des fluides parfaits. Annales de l’Institut Fourier, 16, 319-361. https://doi.org/10.5802/aif.233 |
[2] | Smale, S. (1970) Topology and Mechanics. I. Inventiones Mathematicae, 10, 305-331.
https://doi.org/10.1007/BF01418778 |
[3] | Meyer, K.R. (1973) Symmetries and Integrals in Mathematics. Dy-namical Systems, Academic Press, New York, 259-272. https://doi.org/10.1016/B978-0-12-550350-1.50025-4 |
[4] | Marsden, J. and Weinstein, A. (1974) Reduction of Symplectic Manifolds with Symmetry. Reports on Mathematical Physics, 5, 121-130. https://doi.org/10.1016/0034-4877(74)90021-4 |
[5] | Marsden, J.E., Misiolek, G., Ortega, J.P., et al. (2007) Ham-iltonian Reduction by Stages. Springer, New York, 1-64. |
[6] | Mackenzie, K.C.H. (2005) General Theory of Lie Groupoids and Lie Algebroids. Cambridge University Press, New York. https://doi.org/10.1017/CBO9781107325883 |
[7] | da Silva, A.C. (2008) Lectures on Symplectic Geometry. Springer, New York, 7-22.
https://doi.org/10.1007/978-3-540-45330-7 |
[8] | Mikami, K. and Weinstein, A. (1988) Moments and Reduction for Symplectic Groupoids. Publications of the Research Institute for Mathematical Sciences, 24, 121-140. https://doi.org/10.2977/prims/1195175328 |