Hamiltonian systems on k-cosymplectic manifolds

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1998 Spain English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 39, pages 876-893 (issn: 0022-2488, eissn: 1089-7658,

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Authors: León, Manuel de; Merino, Eugenio; Oubiña, Jose Antonio; Rodrigues, Paulo R.; Salgado, Modesto R.;

doi: 10.1063/1.532358

handle: 10261/100564

Hamiltonian systems on k-cosymplectic manifolds

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Abstract

The Hamiltonian framework on symplectic and cosymplectic manifolds is extended in order to consider classical field theories. To do this, the notion of k-cosymplectic manifold is introduced, and a suitable Hamiltonian formalism is developed so that the field equations for scalar and vector Hamiltonian functions are derived.

Country

Spain

Related Organizations

Spanish National Research Council
Spain
University of Santiago de Compostela
Spain
University of A Coruña
Spain
Universidade Federal Fluminense
Brazil
Instituto de Física Fundamental
Spain

Keywords

Hamiltonians, \(k\)-cosymplectic structures, General geometric structures on manifolds (almost complex, almost product structures, etc.), multisymplectic formalism, Jets in global analysis, \(G\)-structures, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems

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