Browsing by Subject "Symplectic geometry"
Now showing items 111 of 11

Cotangent bundle reduction with singularities
(2010)
Lecture
Open Access 
Geometric HamiltonJacobi theory for higherorder autonomous systems
(20130909)
External research report
Open AccessThe geometric framework for the HamiltonJacobi theory is used to study this theory in the ambient of higherorder mechanical systems, both in the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding ... 
Geometric HamiltonJacobi theory for higherorder autonomous systems
(20140613)
Article
Restricted access  publisher's policyThe geometric framework for the HamiltonJacobi theory is used to study this theory in the background of higherorder mechanical systems, in both the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding ... 
kcosymplectic formalism in classical field theory: the Skinner–Rusk approach
(20060214)
Article
Open AccessThe kcosymplectic Lagrangian and Hamiltonian formalisms of firstorder field theories are reviewed and completed. In particular they are stated for singular almostregular systems. After that, both formalisms are unified ... 
Lagrangian Lie subalgebroids of the canonical symplectic Lie algebroid
(Universitat Politècnica de Catalunya, 201102)
Master thesis
Open AccessIt is wellknown that the Poisson reduction of a hamiltonian system on the cotangent bundle of a manifold produces a hamiltonian system on a linear Poisson manifold. On the other hand, linear Poisson structures on a vector ... 
Liealgebroid formulation of kcosymplectic classical field theories
(2009)
Conference lecture
Restricted access  publisher's policyThe kcosymplectic formalism is the generalization to field theories of the cosymplectic formalism, which is the geometric framework for describing nonautonomous dynamical systems. In [5], A. Weinstein introduced a new ... 
On a kind of Noether symmetries and conservation laws in kcosymplectic field theory
(20100915)
External research report
Open AccessThis paper is devoted to studying symmetries of certain kinds of kcosymplectic Hamiltonian systems in firstorder classical field theories. Thus, we introduce a particular class of symmetries and study the problem of ... 
Rigidity of hamiltonian actions on poisson manifolds
(2012)
Article
Restricted access  publisher's policy 
Some topics concerning the theory of singular dynamical systems
(20060301)
Article
Open AccessSome 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 ksymplectic formalism of field theory
(20070312)
Article
Open AccessThis paper is devoted to studying symmetries of ksymplectic Hamiltonian and Lagrangian firstorder classical field theories. In particular, we define symmetries and Cartan symmetries and study the problem of ... 
Symplectic structures with singularities
(Universitat Politècnica de Catalunya, 201510)
Master thesis
Open AccessThe main goal of the thesis is to classify some particular Poisson structures, called bPoisson, following results of GuilleminMirandaPirés and Radko. To understand these results, this thesis contains some chapters of ...