A Symplectic Analogue of the Mostow-Palais Theorem

  • M. J. Gotay
  • G. M. Tuynman
Part of the Mathematical Sciences Research Institute Publications book series (MSRI, volume 20)

Abstract

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.

Keywords

Symplectic Manifold Finite Type Cotangent Bundle Equivariant Reduction Hamiltonian Action 
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Copyright information

© Springer-Verlag New York, Inc. 1991

Authors and Affiliations

  • M. J. Gotay
    • 1
  • G. M. Tuynman
    • 1
  1. 1.Mathematical Sciences Research InstituteBerkeleyUSA

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