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Codimension one symplectic foliations and regular Poisson manifolds
dc.contributor.author | Guillemin, Victor |
dc.contributor.author | Miranda Galcerán, Eva |
dc.contributor.author | Pires, Ana Rita |
dc.date.accessioned | 2010-10-20T09:43:24Z |
dc.date.available | 2010-10-20T09:43:24Z |
dc.date.issued | 2010 |
dc.identifier.uri | http://hdl.handle.net/2117/9840 |
dc.description.abstract | In 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.extent | 13 p. |
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::Geometria::Geometria diferencial |
dc.subject.lcsh | Foliations (Mathematics) |
dc.title | Codimension one symplectic foliations and regular Poisson manifolds |
dc.type | External research report |
dc.subject.lemac | Foliacions (Matemàtica) |
dc.subject.lemac | Topologia diferencial |
dc.relation.publisherversion | http://arxiv.org/PS_cache/arxiv/pdf/1009/1009.1175v1.pdf |
dc.rights.access | Open Access |
local.identifier.drac | 3110397 |
dc.description.version | Preprint |
local.personalitzacitacio | true |