A Symplectic Analogue of the Mostow-Palais Theorem
We show that given a Hamiltonian action of a compact and connected Lie group G on a symplectic manifold (M, ω) of finite type, there exists a linear symplectic action of G on some R 2n equipped with its standard symplectic structure such that (M, ω, G) can be realized as a reduction of this R 2n with the induced action of G.
KeywordsSymplectic Manifold Finite Type Cotangent Bundle Equivariant Reduction Hamiltonian Action
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