Order reduction, projectability and constrainsts of second-order field theories and higuer-order mechanics

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/100664

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor	Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
dc.contributor.author	Gaset Rifà, Jordi
dc.contributor.author	Román Roy, Narciso
dc.date	2016-12-01
dc.identifier.citation	Gaset, J., Roman-Roy, N. Order reduction, projectability and constrainsts of second-order field theories and higuer-order mechanics. "Reports on mathematical physics", 1 Desembre 2016, vol. 78, núm. 3, p. 327-337.
dc.identifier.citation	0034-4877
dc.identifier.uri	http://hdl.handle.net/2117/100664
dc.language.iso	eng
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria convexa i discreta
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject	Nonlinear systems
dc.subject	Symplectic geometry
dc.subject	Fiber spaces (Mathematics)
dc.subject	General relativity (Physics)
dc.subject	2nd-order Lagrangian field theories
dc.subject	higher-order mechanics
dc.subject	Poincare-Cartan form
dc.subject	Einstein-Hilbert action
dc.subject	Sistemes no lineals
dc.subject	Geometria simplèctica
dc.subject	Espais fibrats (Matemàtica)
dc.subject	Física matemàtica
dc.subject	Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
dc.subject	Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry
dc.subject	Classificació AMS::55 Algebraic topology::55R Fiber spaces and bundles
dc.subject	Classificació AMS::83 Relativity and gravitational theory::83C General relativity
dc.title	Order reduction, projectability and constrainsts of second-order field theories and higuer-order mechanics
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	The 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 $J^3\pi$. The results are applied to the Hilbert Lagrangian for the Einstein equations. Furthermore, the case of higher-order mechanics is also studied as a particular situation.
dc.description.abstract	Peer Reviewed

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