Ara es mostren els items 1-11 de 11

    • A b-symplectic slice theorem 

      Braddell, Roisin; Miranda Galcerán, Eva; Kiesenhofer, Anna (2022-08-03)
      Article
      Accés obert
      In this article, motivated by the study of symplectic structures on manifolds with boundary and the systematic study of -symplectic manifolds started in Guillemin, Miranda, and Pires Adv. Math. 264 (2014), 864–896, we prove ...
    • A b-symplectic slice theorem 

      Dempsey Bradell, Roisin Mary; Kiesenhofer, Anna; Miranda Galcerán, Eva (2020-09)
      Report de recerca
      Accés obert
      In this article, motivated by the study of symplectic structures on manifolds with bound-ary and the systematic study ofb-symplectic manifolds started in [10], we prove a slice theorem forLie group actions onb-symplectic manifolds
    • Action-angle variables and a KAM theorem for b-Poisson manifolds 

      Kiesenhofer, Anna; Miranda Galcerán, Eva; Scott, Geoffrey (2015-02)
      Report de recerca
      Accés obert
      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
      Accés obert
      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 ...
    • b-Structures on Lie groups and Poisson reduction 

      Dempsey Bradell, Roisin Mary; Kiesenhofer, Anna; Miranda Galcerán, Eva (2020-09)
      Report de recerca
      Accés obert
      We introduce the notion of b-Lie group as a pair(G, H) where Gis a Lie group and H is a codimension-one Lie subgroup, and study the associated canonical b-symplectic structure on the b-cotangent bundle bT*G together with ...
    • b-Structures on Lie groups and Poisson reduction 

      Miranda Galcerán, Eva; Kiesenhofer, Anna; Braddell, Roisin (2022-02-11)
      Article
      Accés obert
      Motivated by the group of Galilean transformations and the subgroup of Galilean transformations which fix time zero, we introduce the notion of a b-Lie group as a pair where G is a Lie group and H is a codimension-one Lie ...
    • Cotangent models for integrable systems on $b$-symplectic manifolds 

      Miranda Galcerán, Eva; Kiesenhofer, Anna (2016-01)
      Report de recerca
      Accés obert
    • Cotangent models of integrable systems 

      Miranda Galcerán, Eva; Kiesenhofer, Anna (2016-07)
      Article
      Accés obert
      We associate cotangent models to a neighbourhood of a Liouville torus in symplectic and Poisson manifolds focusing on b-Poisson/b-symplectic manifolds. The semilocal equivalence with such models uses the corresponding ...
    • Examples of integrable and non-integrable systems on singular symplectic manifolds 

      Delshams Valdés, Amadeu; Miranda Galcerán, Eva; Kiesenhofer, Anna (2016-12)
      Report de recerca
      Accés obert
      We present a collection of examples borrowed from celes- tial mechanics and projective dynamics. In these examples symplectic structures with singularities arise naturally from regularization trans- formations, Appell's ...
    • Integrable systems on b-symplectic manifolds 

      Kiesenhofer, Anna (Universitat Politècnica de Catalunya, 2016-12-21)
      Tesi
      Accés obert
      The study of b-symplectic manifolds was initiated in 2012 by the works of Victor Guillemin, Eva Miranda and Ana Rita Pires (Adv. Math. 264 (2014), 864¿896). These manifolds, which can be understood as symplectic manifolds ...
    • Non-commutative integrable systems on b-symplectic manifolds 

      Miranda Galcerán, Eva; Kiesenhofer, Anna (2016)
      Report de recerca
      Accés obert
      In this paper we study non-commutative integrable systems on b-Poisson manifolds. One important source of examples (and motiva- tion) of such systems comes from considering non-commutative systems on manifolds with ...