A Symplectic Analogue of the Mostow-Palais Theorem [chapter]

M. J. Gotay, G. M. Tuynman
1991 Mathematical Sciences Research Institute Publications  
A b s t r a c t . 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.
doi:10.1007/978-1-4613-9719-9_11 fatcat:zv7u3hft5nfuregjvtaqsoiwxu