k-cosymplectic formalism in classical field theory: the Skinner–Rusk approach

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Title:	k-cosymplectic formalism in classical field theory: the Skinner–Rusk approach
Author:	Rey, Angel M.; Román Roy, Narciso; Salgado, Modesto
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV; Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
Abstract:	The k-cosymplectic Lagrangian and Hamiltonian formalisms of first-order field theories are reviewed and completed. In particular they are stated for singular almost-regular systems. After that, both formalisms are unified by giving an extension of the Skinner-Rusk formulation on classical mechanics for first-order field theories.
Subject(s):	-Symplectic geometry -Differential geometry -k-cosymplectic forms -Classical field theory -Lagrangian formalism -Hamiltonian formalism -Geometria diferencial -Varietats simplèctiques -Classificació AMS::70 Mechanics of particles and systems {For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-xx}::70S Classical field theories [See also 37Kxx, 37Lxx, 78-xx, 81Txx, 83-xx] -Classificació AMS::53 Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx}::53D Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx]
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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