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標(biāo)題: Titlebook: Hamiltonian Reduction by Stages; Jerrold E. Marsden,Gerard Misiolek,Tudor S. Ratiu Book 2007 Springer-Verlag Berlin Heidelberg 2007 DEX.Ha [打印本頁(yè)]

作者: relapse    時(shí)間: 2025-3-21 16:10
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作者: 釘牢    時(shí)間: 2025-3-21 20:49
The Physiology of the Lower Urinary Tractction theory in the general setting of symplectic manifolds. The next chapter deals with, amongst other things, the important case of cotangent bundle reduction. Both of these cases are fundamental ingredients in the reduction by stages program.
作者: 實(shí)施生效    時(shí)間: 2025-3-22 00:44

作者: venous-leak    時(shí)間: 2025-3-22 04:55
https://doi.org/10.1007/978-1-4757-1451-7d not have been made had we followed exclusively the purely algebraic approach in §5.2. Having said that, we will analyze the relation between the stages theorem in this chapter and that in the previous one.
作者: 來(lái)自于    時(shí)間: 2025-3-22 09:22

作者: condescend    時(shí)間: 2025-3-22 16:23
Berthold Huppertz,Ekkehard Schleu?ner In this chapter we will spell out the conditions under which optimal reduction by . renders the same result as reduction in the following two stages: we first reduce by .; the resulting space inherits symmetry properties coming from the quotient Lie group . that can be used to reduce one more time.
作者: 使害怕    時(shí)間: 2025-3-22 20:26
Symplectic Reductionction theory in the general setting of symplectic manifolds. The next chapter deals with, amongst other things, the important case of cotangent bundle reduction. Both of these cases are fundamental ingredients in the reduction by stages program.
作者: Mere僅僅    時(shí)間: 2025-3-22 23:44
Stages and Coadjoint Orbits of Central Extensionsductions. To deal with this situation, we use the theory developed in the preceding chapter. The same sort of phenomenon also occurs in Lagrangian reduction by stages, as presented in Cendra, Marsden, and Ratiu [2001a].
作者: gangrene    時(shí)間: 2025-3-23 03:18
Reduction by Stages with Topological Conditionsd not have been made had we followed exclusively the purely algebraic approach in §5.2. Having said that, we will analyze the relation between the stages theorem in this chapter and that in the previous one.
作者: insurgent    時(shí)間: 2025-3-23 06:02
Optimal Orbit Reductionhat we should study is .(.)/.?=?.(.)/., where .?:=?.·???./.?.. The following pages constitute an in-depth study of this quotient and its relation with new (pre)-symplectic manifolds that can be used to reproduce the classical orbit reduction program and expressions.
作者: 發(fā)怨言    時(shí)間: 2025-3-23 09:43

作者: Incorruptible    時(shí)間: 2025-3-23 16:34

作者: 分散    時(shí)間: 2025-3-23 22:05
Stages and Semidirect Products with Cocycless and so the reduction by stages program for the action of . on a symplectic manifold can be implemented.We focus on the case of the action of . on .*. (by the lift of right translation) so that the final reduced spaces will be the coadjoint orbits of ..
作者: Hallowed    時(shí)間: 2025-3-24 01:20
Book 2007ded. Novel features of the book are the inclusion of a systematic treatment of the cotangent bundle case, including the identification of cocycles with magnetic terms, as well as the general theory of singular reduction by stages..
作者: 嫌惡    時(shí)間: 2025-3-24 04:39

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作者: reception    時(shí)間: 2025-3-24 17:37
Cotangent Bundle Reductiontic reduction of cotangent bundles. The main results concerning cotangent bundle reduction make use of the theory of principal connections and so we provide the necessary background on this theory in the first section. The chapter closes with a description of the setting for the major topic of the b
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作者: 甜得發(fā)膩    時(shí)間: 2025-3-25 04:53
Group Extensions and the Stages Hypothesisthe 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
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作者: adj憂郁的    時(shí)間: 2025-3-25 14:16
Examplesome 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.
作者: rheumatology    時(shí)間: 2025-3-25 16:52
Stages and Semidirect Products with Cocyclesp . with an Abelian group ., where the construction of the semidirect product itself involves an .-valued cocycle of .. In this context, . (which is . in the general theory) is still a normal subgroup and the reduction by stages program is fully carried out. In particular, the stages hypothesis hold
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作者: BALE    時(shí)間: 2025-3-26 21:36
The Pilgrim’s Progress by John Bunyanhile one could view these as special cases of more general theorems to follow in the next chapter, it is worthwhile to see them on their own as more structured preludes to more general cases. In addition, these cases are important in applications as well as for the historical development of the subj
作者: 聽(tīng)覺(jué)    時(shí)間: 2025-3-27 04:58

作者: 輪流    時(shí)間: 2025-3-27 09:09
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
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作者: Hyperplasia    時(shí)間: 2025-3-27 14:45

作者: CLASH    時(shí)間: 2025-3-27 18:10
https://doi.org/10.1007/978-3-642-59512-7p . with an Abelian group ., where the construction of the semidirect product itself involves an .-valued cocycle of .. In this context, . (which is . in the general theory) is still a normal subgroup and the reduction by stages program is fully carried out. In particular, the stages hypothesis hold
作者: syncope    時(shí)間: 2025-3-27 21:58
The Pineal Gland and Its Hormonesased on thinking of the (connected components of the) level sets of the various momentum maps in the setup as the accessible sets of a distribution that we will introduce in the following paragraphs. This point of view has been exploited in Ortega [2002] and Ortega and Ratiu [2002, 2004a] in the con
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作者: 會(huì)議    時(shí)間: 2025-3-28 13:04

作者: Feature    時(shí)間: 2025-3-28 18:26
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.
作者: 地殼    時(shí)間: 2025-3-28 21:37
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.
作者: 受人支配    時(shí)間: 2025-3-28 23:27
Jerrold E. Marsden,Gerard Misiolek,Tudor S. RatiuIncludes supplementary material:
作者: Triglyceride    時(shí)間: 2025-3-29 06:34
Lecture Notes in Mathematicshttp://image.papertrans.cn/h/image/420639.jpg
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作者: 排名真古怪    時(shí)間: 2025-3-29 22:41
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.
作者: 落葉劑    時(shí)間: 2025-3-30 01:39
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.
作者: Intentional    時(shí)間: 2025-3-30 06:38

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