Variational principles and symmetries on fibered multisymplectic manifolds

Autor: Pedro Daniel Prieto-Martínez, Narciso Román-Roy, Jordi Gaset

Publikováno v: Communications in Mathematics, Vol 24, Iss 2, Pp 137-152 (2016)
Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

The standard techniques of variational calculus are geometrically stated in the ambient of fiber bundles endowed with a (pre)multisymplectic structure. Then, for the corresponding variational equations, conserved quantities (or, what is equivalent, c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77d784869c11593c440bce1d50772b4f
https://doaj.org/article/6bb378af8dd7482e866fc675f3293c6b

Remarks on multisymplectic reduction

Autor: A. Echeverría-Enríquez, Miguel C. Muñoz-Lecanda, Narciso Román-Roy

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

The problem of reduction of multisymplectic manifolds by the action of Lie groups is stated and discussed, as a previous step to give a fully covariant scheme of reduction for classical field theories with symmetries.
9 pages. The definition of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::488a12ae372c5ae2262a8a603db32144
http://arxiv.org/abs/1712.09901

Multisymplectic Lagrangian and Hamiltonian Formalisms of Classical Field Theories

Autor: Narciso Román-Roy

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname
Symmetry, Integrability and Geometry: Methods and Applications, Vol 5, p 100 (2009)

This review paper is devoted to presenting the standard multisymplectic formulation for describing geometrically classical field theories, both the regular and singular cases. First, the main features of the Lagrangian formalism are revisited and, se

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4537dc87c6fb47f99ebe2cf533496b40
https://doi.org/10.3842/sigma.2009.100

Unified formalism for non-autonomous mechanical systems

Autor: Barbero Liñán, María, Echeverría Enríquez, Arturo, Martín de Diego, David, Muñoz Lecanda, Miguel Carlos, Román Roy, Narciso

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
Universitat Jaume I

We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of regular and non-regular time-dependent mechanical systems, which is based on the approach of Skinner and Rusk (1983). The dynamical equations of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::29ed489f87bb867cd7a59c35116ffabb
http://hdl.handle.net/2117/2654

Multisymplectic unified formalism for Einstein-Hilbert gravity

Autor: Jordi Gaset, Narciso Román-Roy

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

We present a covariant multisymplectic formulation for the Einstein-Hilbert model of General Relativity. As it is described by a second-order singular Lagrangian, this is a gauge field theory with constraints. The use of the unified Lagrangian-Hamilt

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::99bc9ca80c4c851d8740e33cf89a498e
http://hdl.handle.net/2117/117223