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dc.contributor.authorMiranda Galcerán, Eva
dc.contributor.authorCardona, Robert
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2018-05-25T10:16:28Z
dc.date.available2018-05-25T10:16:28Z
dc.date.issued2018-05-15
dc.identifier.citationMiranda, E., Cardona, R. Integrable systems and closed one forms. "Journal of geometry and physics", vol.131, p. 204-209, 2018.
dc.identifier.issn0393-0440
dc.identifier.otherhttps://arxiv.org/abs/1712.08156
dc.identifier.urihttp://hdl.handle.net/2117/117493
dc.description.abstractIn the first part of this paper we revisit a classical topological theorem by Tischler (1970) and deduce a topological result about compact manifolds admitting a set of independent closed forms proving that the manifold is a fibration over a torus. As an application we reprove the Liouville theorem for integrable systems asserting that the invariant sets or compact connected fibers of a regular integrable system is a torus. We give a new proof of this theorem (including the non-commutative version) for symplectic and more generally Poisson manifolds.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Topologia algebraica
dc.subject.lcshDifferential equations
dc.subject.otherIntegrable systems
dc.subject.otherLiouville theorem
dc.titleIntegrable systems and closed one forms
dc.typeArticle
dc.subject.lemacEquacions diferencials
dc.contributor.groupUniversitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
dc.identifier.doi10.1016/j.geomphys.2018.05.013
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
local.identifier.drac22529049
dc.description.versionPostprint (published version)
local.citation.authorMiranda, E.; Cardona, R.
local.citation.publicationNameJournal of geometry and physics
local.citation.volume131
local.citation.numberSeptember
local.citation.startingPage204
local.citation.endingPage209


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