relapse 发表于 2025-3-21 16:10:27

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钉牢 发表于 2025-3-21 20:49:45

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.

实施生效 发表于 2025-3-22 00:44:40

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venous-leak 发表于 2025-3-22 04:55:26

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.

来自于 发表于 2025-3-22 09:22:18

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condescend 发表于 2025-3-22 16:23:29

Berthold Huppertz,Ekkehard Schleußner 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.

使害怕 发表于 2025-3-22 20:26:44

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.

Mere仅仅 发表于 2025-3-22 23:44:22

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 .

gangrene 发表于 2025-3-23 03:18:22

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.

insurgent 发表于 2025-3-23 06:02:36

Optimal Orbit Reductionhat we should study is .(.)/. = .(.)/., where . := .· ⊂ ./.ʹ.. 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.
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查看完整版本: Titlebook: Hamiltonian Reduction by Stages; Jerrold E. Marsden,Gerard Misiolek,Tudor S. Ratiu Book 2007 Springer-Verlag Berlin Heidelberg 2007 DEX.Ha