Now showing items 1-20 of 90

    • A b-symplectic slice theorem 

      Dempsey Bradell, Roisin Mary; Kiesenhofer, Anna; Miranda Galcerán, Eva (2020-09)
      External research report
      Open Access
      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
    • A normal form theorem for integrable systems on contact manifolds 

      Miranda Galcerán, Eva (2005)
      Article
      Open Access
      We present a normal form theorem for singular integrable systems on contact manifolds
    • A note on symplectic and Poisson linearization of semisimple Lie algebra actions 

      Miranda Galcerán, Eva (2015-03)
      External research report
      Open Access
      In this note we prove that an analytic symplectic action of a semisimple Lie algebra can be locally linearized in Darboux coordinates. This result yields simultaneous analytic linearization for Hamiltonian vector fields ...
    • A note on the symplectic topology of b-manifolds 

      Miranda Galcerán, Eva; Martinez Torres, David; Frejlich, Pedro (2017)
      Article
      Open Access
      Poisson manifold (M2n; ) is b-symplectic if Vn is transverse to the zero section. In this paper we apply techniques native to Symplectic Topology to address questions pertaining to b-symplectic manifolds. We pro- vide ...
    • A Poincaré lemma in geometric quantisation 

      Miranda Galcerán, Eva; Solha, Romero (American Institute of Mathematical Sciences, 2013-12)
      Article
      Open Access
      This article presents a Poincar e lemma for the Kostant complex, used to compute geometric quantisation, when the polarisation is given by a Lagrangian foliation de ned by an integrable system with nondegenerate singularities.
    • A Poincaré lemma in geometric quantisation 

      Miranda Galcerán, Eva; Solha, Romero (2013)
      External research report
      Open Access
      This paper presents a Poincaré lemma for the Kostant comple x, used to compute geometric quantisation, when the polarisat ion is given by a Lagrangian foliation defined by an integrable system wit h non-degenerate singularities.
    • 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 ...
    • 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 ...
    • An invitation to singular symplectic geometry 

      Miranda Galcerán, Eva; Delshams Valdés, Amadeu; Dempsey Bradell, Roisin Mary; Oms, Cedric; Planas Bahí, Arnau (2019)
      Article
      Open Access
      In this paper we analyze in detail a collection of motivating examples to consider bm-symplectic forms and folded-type symplectic structures. In particular, we provide models in Celestial Mechanics for every bm-symplectic ...
    • An invitation to singular symplectic geometry 

      Miranda Galcerán, Eva; Delshams Valdés, Amadeu; Planas Bahí, Arnau; Oms, Cedric; Dempsey Bradell, Roisin Mary (2017)
      External research report
      Open Access
      In this paper we analyze in detail a collection of motivating examples to consider bm- symplectic forms and folded-type symplectic structures. In particular, we provide models in Celestial Mechanics for every bm-symplectic ...
    • b-Structures on Lie groups and Poisson reduction 

      Dempsey Bradell, Roisin Mary; Kiesenhofer, Anna; Miranda Galcerán, Eva (2020-09)
      External research report
      Open Access
      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 ...
    • Buscando órbitas períodicas 

      Miranda Galcerán, Eva (Real Sociedad Matemática Española, 2020-11-07)
      Article
      Open Access
      En este artículo presentamos una aproximación topológica y geométrica al estudio de órbitas periódicas (existencia y localización) tomando como punto de partida problemas de mecánica celeste. Describimos, a grandes rasgos, ...
    • Classification of b^m-Nambu structures of top degree 

      Miranda Galcerán, Eva; Planas Bahí, Arnau (2018-01)
      Article
      Open Access
      We obtain sufficient conditions for the existence and uniqueness of a positive compact almost automorphic solution to a logistic equation with discrete and continuous delay. Moreover, we provide a counterexample to some ...
    • Codimension one symplectic foliations and regular Poisson manifolds 

      Guillemin, Victor; Miranda Galcerán, Eva; Pires, Ana Rita (2010)
      External research report
      Open Access
      In this short note we give a complete characterization of a certain class of compact corank one Poisson manifolds, those equipped with a closed one-form defining the symplectic foliation and a closed two-form extending ...
    • Contact structures with singularities 

      Miranda Galcerán, Eva; Oms, Cédric (2018-06-15)
      External research report
      Open Access
      We study singular contact structures, which are tangent to a given smooth hypersurface Z and satisfy certain transversality conditions. These singular contact structures are determined by the kernel of non-smooth differential ...
    • 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 ...
    • Convexity for Hamiltonian torus actions on b-symplectic manifolds 

      Guillemin, Victor; Miranda Galcerán, Eva; Pires, Ana Rita; Scott, Geoffrey (2014-12)
      External research report
      Open Access
      In [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 ...
    • Convexity of the moment map image for torus actions on b(m)-symplectic manifolds 

      Miranda Galcerán, Eva; Guillemin, Victor; Weitsman, Jonathan (Royal Society, 2018-10-28)
      Article
      Open Access
      We prove a convexity theorem for the image of the moment map of a Hamiltonian torus action on a bm-symplectic manifold. This article is part of the theme issue ‘Finite dimensional integrable systems: new trends and methods
    • Cotangent models for integrable systems on $b$-symplectic manifolds 

      Miranda Galcerán, Eva; Kiesenhofer, Anna (2016-01)
      External research report
      Open Access
    • Cotangent models of integrable systems 

      Miranda Galcerán, Eva; Kiesenhofer, Anna (2016-07)
      Article
      Open Access
      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 ...