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Lie-algebroid formulation of k-cosymplectic classical field theories
Román Roy, Narciso; Salgado, Modesto; Vilariño, Silvia
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV; Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
The k-cosymplectic formalism is the generalization to field theories of the cosymplectic formalism, which is the geometric framework for describing non-autonomous dynamical systems. In [5], A. Weinstein introduced a new geometric framework for giving a more generic description of Lagrangian mechanics. This approach was followed and completed by other authors for studying different kinds of problems concerning mechanical systems (a good survey on this subject is [1]). The extension of this formalism to classical field theories has been made, in [3] for the multisymplectic formalism. This poster, which is based on the developments made in [4], is devoted to presenting a Hamiltonian k-cosymplectic description of field theories in terms of Lie algebroids.
Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria diferencial
Symplectic geometry
Differential geometry
Geometria diferencial
Varietats simplèctiques
Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry
Classificació AMS::51 Geometry::51P05 Geometry and physics
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