Exploració per tema "Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry"
Ara es mostren els items 1-20 de 53
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3D object reconstruction from Swissranger sensor data using a spring-mass model
(INSTICC Press. Institute for Systems and Technologies of Information, Control and Communication, 2009)
Capítol de llibre
Accés restringit per política de l'editorialWe register close-range depth images of objects using a Swissranger sensor and apply a spring-mass model for 3D object reconstruction. The Swissranger sensor delivers depth images in real time which have, compared with ... -
A b-symplectic slice theorem
(2022-08-03)
Article
Accés obertIn 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 geometric approach to the existence of orbits with unbounded energy in generic periodic perturbations by a potential of generic geodesic flows of T<sup>2</sup>
(1999)
Article
Accés obertWe give a proof based in geometric perturbation theory of a result proved by J.N. Mather using variational methods. Namely, the existence of orbits with unbounded energy in perturbations of a generic geodesic flow in T^2 ... -
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 ... -
Constrained Lagrangian dissipative contact dynamics
(2021-12-28)
Article
Accés obertWe show that the contact dynamics obtained from the Herglotz variational principle can be described as a constrained nonholonomic or vakonomic ordinary Lagrangian system depending on a dissipative variable with an adequate ... -
Constraint algorithm for k-presymplectic hamiltonian systems: application to singular field theories
(World Scientific and Engineering Academy and Society (WSEAS), 2009-08-01)
Article
Accés obertThe k-symplectic formulation of field theories is specially simple, since only tangent and cotangent bundles are needed in its description. Its defining elements show a close relationship with those in the symplectic formulation ... -
Constraint algorithm for singular field theories in the k-cosymplectic framework
(American Institute of Mathematical Sciences, 2020-03-15)
Article
Accés obertThe aim of this paper is to develop a constraint algorithm for singular classical field theories in the framework of k-cosymplectic geometry. Since these field theories are singular, we need to introduce the notion of ... -
Contact structures with singularities: from local to global
(Elsevier, 2023-10-01)
Article
Accés obertIn this article we introduce and analyze in detail singular contact structures, with an emphasis on bm -contact structures, which are tangent to a given smooth hypersurface Z and satisfy certain transversality conditions. ... -
Estudi de les estructures geomètriques dels sistemes dinàmics d'ordre superior
(Universitat Politècnica de Catalunya, 2011)
Projecte Final de Màster Oficial
Accés obertEl formalisme unificat Lagrangià-Hamiltonià de R. Skinner i R. Rusk fou desenvolupat originalment per a sistemes dinàmics autònoms de la mecànica clàssica. Més recentment s'ha generalitzat per a sistemes mecànics no autònoms ... -
Extending classical gauge theories to E-manifolds
(Universitat Politècnica de Catalunya, 2022-05-16)
Treball Final de Grau
Accés obertLes teories gauge descriuen la dinàmica d'una partícula clàssica amb graus interns de llibertat. L'espai de configuracions és un fibrat associat a un fibrat principal $\pi\colon P \longrightarrow M$ amb grup d'estructura ... -
From 2N to infinitely many escape orbits
(Pleiades Publishing, 2023-07-31)
Article
Accés restringit per política de l'editorial—In this short note, we prove that singular Reeb vector fields associated with generic b-contact forms on three dimensional manifolds with compact embedded critical surfaces have either (at least) 2N or an infinite number ... -
Geodesic flows and Neumann systems on Stiefel varieties: geometry and integrability
(2010-12-03)
Article
Accés restringit per política de l'editorialWe study integrable geodesic flows on Stiefel varieties Vn,r = SO(n)/SO(n−r ) given by the Euclidean, normal (standard), Manakov-type, and Einstein metrics.We also consider natural generalizations of the Neumann systems ... -
Geometric properties of the scattering map of a normally hyperbolic invariant manifold
(Elsevier, 2008)
Article
Accés obertGiven a normally hyperbolic invariant manifold Λ for a map f , whose stable and unstable invariant manifolds intersect transversally, we consider its associated scattering map. That is, the map that, given an asymptotic ... -
Geometric quantization via cotangent models
(2022-05-05)
Report de recerca
Accés obertIn this article we give a universal model for geometric quantization associated to a real polarization given by an integrable system with non-degenerate singularities. This universal model goes one step further than the ... -
Higher-order Cartan symmetries in k-symplectic field theory
(2008-04-30)
Article
Accés obertFor k-symplectic Hamiltonian field theories, we study infinitesimal transformations generated by certain kinds of vector fields which are not Noether symmetries, but which allow us to obtain conservation laws by means ... -
Higher-order contact mechanics
(Elsevier, 2021-02-01)
Article
Accés obertWe present a complete theory of higher-order autonomous contact mechanics, which allows us to describe higher-order dynamical systems with dissipation. The essential tools for the theory are the extended higher-order tangent ... -
Integrable systems and group actions
(2011)
Report de recerca
Accés obertThe main purpose of this paper is to present in a uni¯ed approach to see di®erent results concerning group actions and integrable systems in symplectic, Poisson and contact manifolds. Rigidity problems for integrable systems ... -
Integrable Systems in singular symplectic manifolds
(Universitat Politècnica de Catalunya, 2018-07)
Projecte Final de Màster Oficial
Accés obertEn aquest treball es presenten les nocions de geometria simplèctica, de Poisson i b-simplèctica. En cada cas està demostrat un teorema de Arnold-Liouville per a sistemes integrables. Desprès de demostrar una part d'aquests ... -
Integrable systems on singular symplectic manifolds: from local to global
(2021-09-22)
Article
Accés obertIn this article, we consider integrable systems on manifolds endowed with symplectic structures with singularities of order one. These structures are symplectic away from a hypersurface where the symplectic volume goes ...
