Exploració per autor "Miranda Galcerán, Eva"
Ara es mostren els items 4-23 de 121
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A note on symplectic and Poisson linearization of semisimple Lie algebra actions
(2015-03)
Report de recerca
Accés obertIn 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
(2017)
Article
Accés obertPoisson 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
(American Institute of Mathematical Sciences, 2013-12)
Article
Accés obertThis 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
(2013)
Report de recerca
Accés obertThis 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
(2015-02)
Report de recerca
Accés obertIn 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
(2016-01-01)
Article
Accés obertIn 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 ... -
An equivariant Reeb–Beltrami correspondence and the Kepler–Euler flow
(Royal Society, 2024-01-31)
Article
Accés obertWe prove that the correspondence between Reeb and Beltrami vector fields presented in Etnyre & Ghrist (Etnyre, Ghrist 2000 Nonlinearity 13, 441–458 (doi:10.1088/0951-7715/13/2/306)) can be made equivariant whenever additional ... -
An invitation to singular symplectic geometry
(2017)
Report de recerca
Accés obertIn 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
(2019)
Article
Accés obertIn 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
(2020-09)
Report de recerca
Accés obertWe 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
(2022-02-11)
Article
Accés obertMotivated 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 ... -
Bohr-Sommerfeld quantization of b-symplectic toric manifolds
(2022-03-07)
Report de recerca
Accés obertWe define the Bohr-Sommerfeld quantization via T-modules for a b-symplectic toric manifold and show that it coincides with the formal geometric quantization of [GMW18b]. In particular, we prove that its dimension is given ... -
Bohr–Sommerfeld quantization of b-symplectic toric manifolds
(2023)
Article
Accés obertWe define the Bohr-Sommerfeld quantization via T -modules for a b-symplectic toric manifold and show that it coincides with the formal geometric quantization of [Victor W. Guillemin, Eva Miranda, and Jonathan Weitsman. On ... -
Buscando órbitas períodicas
(Real Sociedad Matemática Española, 2020-11-07)
Article
Accés obertEn 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
(2018-01)
Article
Accés obertWe 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
(2010)
Report de recerca
Accés obertIn 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 ... -
Computability and Beltrami fields in Euclidean space
(2022-11-15)
Report de recerca
Accés obertIn this article, we pursue our investigation of the connections between the theory of computation and hydrodynamics. We prove the existence of stationary solutions of the Euler equations in Euclidean space, of Beltrami ... -
Computability and Beltrami fields in Euclidean space
(2022-11-12)
Article
Accés obertIn this article, we pursue our investigation of the connections between the theory of computation and hydrodynamics. We prove the existence of stationary solutions of the Euler equations in Euclidean space, of Beltrami ... -
Constructing Turing complete Euler flows in dimension 3
(2021-05-11)
Article
Accés obertCan every physical system simulate any Turing machine? This is a classical problem which is intimately connected with the undecidability of certain physical phenomena. Concerning fluid flows, Moore asked in [15] if ... -
Constructions of b-semitoric systems
(2023-07-01)
Article
Accés obertIn this article, we introduce b-semitoric systems as a generalization of semitoric systems, specifically tailored for b-symplectic manifolds. The objective of this article is to furnish a collection of examples and investigate ...
