proof ch:07-symplectic-geometry@proof-15

open in the book · parts/03-classical-mechanics/07-symplectic-geometry.tex:1572

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proof : ch:07-symplectic-geometry@proof-15prooflemma 24.46: The level set of the momentum map is the symplectic orthogonal of the orbit24.46definition 24.8: Symplectic manifold24.8definition 24.43: Momentum map24.43theorem 13.59: Regular value theorem13.59proposition A.565: Freeness makes every value regularA.565theorem A.563: Marsden–Weinstein reductionA.563theorem A.568: The radical is the isotropy orbitA.568theorem 24.47: Marsden–Weinstein reduction24.47

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proves The level set of the momentum map is the symplectic orthogonal of the orbit declared parts/03-classical-mechanics/07-symplectic-geometry.tex:1572