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Integrable systems and closed one forms
dc.contributor.author | Miranda Galcerán, Eva |
dc.contributor.author | Cardona, Robert |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2018-05-25T10:16:28Z |
dc.date.available | 2018-05-25T10:16:28Z |
dc.date.issued | 2018-05-15 |
dc.identifier.citation | Miranda, E., Cardona, R. Integrable systems and closed one forms. "Journal of geometry and physics", vol.131, p. 204-209, 2018. |
dc.identifier.issn | 0393-0440 |
dc.identifier.other | https://arxiv.org/abs/1712.08156 |
dc.identifier.uri | http://hdl.handle.net/2117/117493 |
dc.description.abstract | In 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.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Topologia algebraica |
dc.subject.lcsh | Differential equations |
dc.subject.other | Integrable systems |
dc.subject.other | Liouville theorem |
dc.title | Integrable systems and closed one forms |
dc.type | Article |
dc.subject.lemac | Equacions diferencials |
dc.contributor.group | Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions |
dc.identifier.doi | 10.1016/j.geomphys.2018.05.013 |
dc.description.peerreviewed | Peer Reviewed |
dc.rights.access | Open Access |
local.identifier.drac | 22529049 |
dc.description.version | Postprint (published version) |
local.citation.author | Miranda, E.; Cardona, R. |
local.citation.publicationName | Journal of geometry and physics |
local.citation.volume | 131 |
local.citation.number | September |
local.citation.startingPage | 204 |
local.citation.endingPage | 209 |
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