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dc.contributor.authorRomán Roy, Narciso
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.identifier.citationRoman-Roy, N. Some properties of multisymplectic manifolds. A: "Classical and quantum physics 60 years Alberto Ibort Fest geometry, dynamics, and control". Berlín: Springer, 2019, p. 325-336.
dc.description.abstractThis lecture is devoted to review some of the main properties of multisymplectic geometry. In particular, after reminding the standard definition of multisymplectic manifold, we introduce its characteristic submanifolds, the canonical models, and other relevant kinds of multisymplectic manifolds, such as those where the existence of Darboux-type coordinates is assured. The Hamiltonian structures that can be defined in these manifolds are also studied, as well as other important properties, such as their invariant forms and the characterization by automorphisms.
dc.format.extent12 p.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.lcshAutomatic control
dc.subject.otherMultisymplectic forms
dc.subject.otherBundles of forms
dc.subject.otherHamiltonian structures
dc.subject.otherInvariant forms
dc.subject.otherMulti- vector fields.
dc.titleSome properties of multisymplectic manifolds
dc.typePart of book or chapter of book
dc.subject.lemacControl automàtic
dc.contributor.groupUniversitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::70 Mechanics of particles and systems::70Q05 Control of mechanical systems
dc.rights.accessRestricted access - publisher's policy
dc.description.versionPostprint (author's final draft)
local.citation.authorRoman-Roy, N.
local.citation.publicationNameClassical and quantum physics 60 years Alberto Ibort Fest geometry, dynamics, and control

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