Now showing items 1-5 of 5

  • Action-angle variables and a KAM theorem for b-Poisson manifolds 

    Kiesenhofer, Anna; Miranda Galcerán, Eva; Scott, Geoffrey (2015-02)
    External research report
    Open Access
    In this article we prove an action-angle theorem for b-integrable systems on b-Poisson manifolds improving the action-angle theorem contained in [LMV11] for general Poisson manifolds in this setting. As an application, we ...
  • Action-angle variables and a KAM theorem for b-Poisson manifolds 

    Miranda Galcerán, Eva; Kiesenhofer, Anna; Scott, Geoffrey (2016-01-01)
    Article
    Open Access
    In this article we prove an action-angle theorem for b-integrable systems on b-Poisson manifolds improving the action-angle theorem contained in [14] for general Poisson manifolds in this setting. As an application, we ...
  • Convexity for Hamiltonian torus actions on b-symplectic manifolds 

    Guillemin, Victor; Miranda Galcerán, Eva; Pires, Ana Rita; Scott, Geoffrey (2017)
    Article
    Open Access
    n [GMPS] we proved that the moment map image of a b-symplectic toric manifold is a convex b-polytope. In this paper we obtain convexity results for the more general case of non-toric hamiltonian torus actions on b-symplectic ...
  • Introduction to Poisson Geometry 

    Miranda Galcerán, Eva; Scott, Geoffrey (2014)
    Conference report
    Open Access
  • Toric actions on b-symplectic manifolds 

    Miranda Galcerán, Eva; Pires, Ana Rita; Guillemin, Victor; Scott, Geoffrey (2013)
    External research report
    Open Access
    We study Hamiltonian actions on b-symplectic manifolds with a focus on the e ective case of half the dimension of the manifold. In particular, we prove a Delzant-type theorem that classi es these manifolds using polytopes ...