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

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/393

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.contributor	Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
dc.contributor.author	Rey, Angel M.
dc.contributor.author	Román Roy, Narciso
dc.contributor.author	Salgado, Modesto
dc.date	2006-02-14
dc.identifier.uri	http://hdl.handle.net/2117/393
dc.language.iso	eng
dc.relation	MTM2005-04947
dc.rights	Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject	Symplectic geometry
dc.subject	Differential geometry
dc.subject	k-cosymplectic forms
dc.subject	Classical field theory
dc.subject	Lagrangian formalism
dc.subject	Hamiltonian formalism
dc.subject	Geometria diferencial
dc.subject	Varietats simplèctiques
dc.subject	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]
dc.subject	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]
dc.title	k-cosymplectic formalism in classical field theory: the Skinner–Rusk approach
dc.type	info:eu-repo/semantics/article
dc.description.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.

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