Exploració per tema "Symplectic geometry"
Ara es mostren els items 24-41 de 41
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On a kind of Noether symmetries and conservation laws in k-cosymplectic field theory
(2010-09-15)
Report de recerca
Accés obertThis paper is devoted to studying symmetries of certain kinds of k-cosymplectic Hamiltonian systems in first-order classical field theories. Thus, we introduce a particular class of symmetries and study the problem of ... -
On the singular Weinstein conjecture and the existence of escape orbits for b-Beltrami fields
(2021-10-07)
Report de recerca
Accés obertMotivated by Poincare’s orbits going to infinity in the (restricted) three-body problem ´ (see [29] and [7]), we investigate the generic existence of heteroclinic-like orbits in a neighbourhood of the critical set of a ... -
Order reduction, projectability and constrainsts of second-order field theories and higuer-order mechanics
(2016-12-01)
Article
Accés obertThe consequences of the projectability of Poincar\'e-Cartan forms in a third-order jet bundle $J^3\pi$ to a lower-order jet bundle are analyzed using the constraint algorithm for the Euler-Lagrange equations in $J^3\pi$. ... -
Remarks on multisymplectic reduction
(2018-06-01)
Article
Accés obertThe problem of reduction of multisymplectic manifolds by the action of Lie groups is stated and discussed, as a previous step to give a fully covariant scheme of reduction for classical field theories with symmetries. -
Rigidity of cotangent lifts and integrable systems
(2020-05)
Report de recerca
Accés obertIn this article we generalize a theorem by Palais on the rigidity ofcompact group actions to cotangent lifts. We use this result to prove rigidity forintegrable systems on symplectic manifolds including sytems with ... -
Rigidity of group actions, cotangent lifts and integrable systems
(Universitat Politècnica de Catalunya, 2020-07)
Projecte Final de Màster Oficial
Accés obert
Realitzat a/amb: GEOMVAP - Geometria de Varietats i Aplicacions. Grup de RecercaIn this master thesis we generalize a theorem by Palais on the rigidity of compact group actions to cotangent lifts. We use this result to prove rigidity for integrable systems on symplectic manifolds including systems ... -
Rigidity of hamiltonian actions on poisson manifolds
(2012)
Article
Accés restringit per política de l'editorial -
Singular cotangent models and complexity in fluids with dissipation
(2022-06-17)
Report de recerca
Accés obertIn this article we analyze several mathematical models with singularities where the classical cotangent model is replaced by a b-cotangent model. We provide physical interpretations of the singular symplectic geometry ... -
Sistemes dinàmics de contacte
(Universitat Politècnica de Catalunya, 2022-07)
Treball Final de Grau
Accés obertAquest treball de fi de grau presenta la geometria de contacte, una branca de la geometria diferencial que permet descriure geomètricament certs sistemes dinàmics com ara sistemes amb dissipació. Aquesta formulació permet ... -
Skinner–Rusk formalism for k-contact systems
(2022-02-01)
Article
Accés obertIn previous papers, a geometric framework has been developed to describe non-conservative field theories as a kind of modified Lagrangian and Hamiltonian field theories. This approach is that of k-contact Hamiltonian ... -
Some topics concerning the theory of singular dynamical systems
(2006-03-01)
Article
Accés obertSome subjects related to the geometric theory of singular dynamical systems are reviewed in this paper. In particular, the following two matters are considered: the theory of canonical transformations for presymplectic ... -
Symmetries and conservation laws in the Gunther k-symplectic formalism of field theory
(2007-03-12)
Article
Accés obertThis paper is devoted to studying symmetries of k-symplectic Hamiltonian and Lagrangian first-order classical field theories. In particular, we define symmetries and Cartan symmetries and study the problem of ... -
Symplectic structures with singularities
(Universitat Politècnica de Catalunya, 2015-10)
Projecte Final de Màster Oficial
Accés obertThe main goal of the thesis is to classify some particular Poisson structures, called b-Poisson, following results of Guillemin-Miranda-Pirés and Radko. To understand these results, this thesis contains some chapters of ... -
Symplectic toric manifolds, Delzant theorem and integrable sytems
(Universitat Politècnica de Catalunya, 2017-07)
Treball Final de Grau
Accés obertEn aquesta tesi estudiarem la relació entre les varietats simplèctiques tòriques i els sistemes integrables. Per això, presentem en primer lloc tots els preliminars necessaris de geometria simplèctica. Després presentem ... -
The geometry and topology of contact structures with singularities
(2020-05-20)
Report de recerca
Accés obertIn this article we introduce and analyze in detail singular contact structures, with an emphasis on $b^m$-contact structures, which are tangent to a given smooth hypersurface $Z$ and satisfy certain transversality conditions. ... -
The second-order problem for k-presymplectic Lagrangian field theories: application to the Einstein–Palatini model
(springer-Verlag, 2022-01-01)
Article
Accés obertIn general, the system of 2nd-order partial differential equations made of the Euler–Lagrange equations of classical field theories are not compatible for singular Lagrangians. This is the so-called second-order problem. ... -
Time-dependent contact mechanics
(2022-09-16)
Article
Accés obertContact geometry allows us to describe some thermodynamic and dissipative systems. In this paper we introduce a new geometric structure in order to describe time-dependent contact systems: cocontact manifolds. Within this ... -
Variational principles and symmetries on fibered multisymplectic manifolds
(2016-12-01)
Article
Accés obertThe standard techniques of variational calculus are geometrically stated in the ambient of fiber bundles endowed with a (pre)multi-symplectic structure. Then, for the corresponding variational equations, conserved quantities ...
