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Titlebook: Hamiltonian Reduction by Stages; Jerrold E. Marsden,Gerard Misiolek,Tudor S. Ratiu Book 2007 Springer-Verlag Berlin Heidelberg 2007 DEX.Ha

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https://doi.org/10.1007/978-94-011-6443-6The introductory chapters have discussed the history and the theory of cotangent bundle reduction in some detail. In particular, §2.2 and §2.3 reviewed the basic . theory of the embedding version of cotangent bundle reduction.
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Magnetic Cotangent Bundle ReductionThe introductory chapters have discussed the history and the theory of cotangent bundle reduction in some detail. In particular, §2.2 and §2.3 reviewed the basic . theory of the embedding version of cotangent bundle reduction.
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Jerrold E. Marsden,Gerard Misiolek,Tudor S. RatiuIncludes supplementary material:
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Lecture Notes in Mathematicshttp://image.papertrans.cn/h/image/420639.jpg
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https://doi.org/10.1057/9781137264060the action of. in two stages, the first stage being reduction by .. The goal of this chapter is to introduce hypotheses under which reduction by stages works—that is, the stages hypothesis (see Definition 5.2.8) is automatically satisfied. The actual reduction by stages procedure for these examples will be carried out in Chapters 8, 9, and 10.
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https://doi.org/10.1057/978-1-349-95947-1ome evident, now that the general theory is at hand, when it is applied to this example, the results done by hand in §5.1 can be obtained very quickly. This example is interesting because it is a simple, yet nontrivial, example of a group extension that is not a semidirect product.
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