Codimension one symplectic foliations and regular Poisson manifolds

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dc.contributor.author	Guillemin, Victor
dc.contributor.author	Miranda Galcerán, Eva
dc.contributor.author	Pires, Ana Rita
dc.date	2010
dc.identifier.uri	http://hdl.handle.net/2117/9840
dc.language.iso	eng
dc.relation	http://arxiv.org/PS_cache/arxiv/pdf/1009/1009.1175v1.pdf
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	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	Foliations (Mathematics)
dc.subject	Foliacions (Matemàtica)
dc.subject	Topologia diferencial
dc.title	Codimension one symplectic foliations and regular Poisson manifolds
dc.type	info:eu-repo/semantics/draft
dc.type	info:eu-repo/semantics/report
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].