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Some properties of multisymplectic manifolds
| dc.contributor.author | Román Roy, Narciso |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
| dc.date.accessioned | 2020-03-30T11:58:24Z |
| dc.date.issued | 2019-10-01 |
| dc.identifier.citation | Roman-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.identifier.isbn | 978-3-030-24748-5 |
| dc.identifier.uri | http://hdl.handle.net/2117/182253 |
| dc.description.abstract | This 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.extent | 12 p. |
| dc.language.iso | eng |
| dc.publisher | Springer |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| dc.subject.lcsh | Automatic control |
| dc.subject.other | Multisymplectic forms |
| dc.subject.other | Bundles of forms |
| dc.subject.other | Hamiltonian structures |
| dc.subject.other | Invariant forms |
| dc.subject.other | Multi- vector fields. |
| dc.title | Some properties of multisymplectic manifolds |
| dc.type | Part of book or chapter of book |
| dc.subject.lemac | Control automàtic |
| dc.contributor.group | Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions |
| dc.identifier.doi | 10.1007/978-3-030-24748-5_18 |
| dc.description.peerreviewed | Peer Reviewed |
| dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70Q05 Control of mechanical systems |
| dc.relation.publisherversion | https://www.springer.com/series/361 |
| dc.rights.access | Restricted access - publisher's policy |
| local.identifier.drac | 26600296 |
| dc.description.version | Postprint (author's final draft) |
| dc.date.lift | 10000-01-01 |
| local.citation.author | Roman-Roy, N. |
| local.citation.pubplace | Berlín |
| local.citation.publicationName | Classical and quantum physics 60 years Alberto Ibort Fest geometry, dynamics, and control |
| local.citation.startingPage | 325 |
| local.citation.endingPage | 336 |
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