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dc.contributor.authorGuillemin, Victor
dc.contributor.authorMiranda Galcerán, Eva
dc.contributor.authorPires, Ana Rita
dc.date.accessioned2010-10-20T09:43:24Z
dc.date.available2010-10-20T09:43:24Z
dc.date.issued2010
dc.identifier.urihttp://hdl.handle.net/2117/9840
dc.description.abstractIn this short note we give a complete characterization of a certain class of compact corank one Poisson manifolds, those equipped with a closed one-form defining the symplectic foliation and a closed two-form extending the symplectic form on each leaf. If such a manifold has a compact leaf, then all the leaves are compact, and furthermore the manifold is a mapping torus of a compact leaf. These manifolds and their regular Poisson structures admit an extension as the critical hypersurface of a b-Poisson manifold as we will see in [GMP].
dc.format.extent13 p.
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::Geometria::Geometria diferencial
dc.subject.lcshFoliations (Mathematics)
dc.titleCodimension one symplectic foliations and regular Poisson manifolds
dc.typeExternal research report
dc.subject.lemacFoliacions (Matemàtica)
dc.subject.lemacTopologia diferencial
dc.relation.publisherversionhttp://arxiv.org/PS_cache/arxiv/pdf/1009/1009.1175v1.pdf
dc.rights.accessOpen Access
drac.iddocument3110397
dc.description.versionPreprint


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