Open books on contact five-manifolds

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dc.creatorvan Koert, Otto
dc.date2006-02-08
dc.date2007-05-28
dc.date.accessioned2026-07-07T08:07:30Z
dc.date.available2026-07-07T08:07:30Z
dc.descriptionThe aim of this paper is to give an alternative proof of a theorem about the existence of contact structures on five-manifolds due to Geiges. This theorem asserts that simply-connected five-manifolds admit a contact structure in every homotopy class of almost contact structures. Our proof uses the open book construction of Giroux.
dc.description15 pages, 2 figures; typos corrected, used simpler argument for section 3; to appear in Annales de l'institut Fourier
dc.identifierhttps://arxiv.org/abs/math/0602170
dc.identifierhttp://arxiv.org/abs/math/0602170
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130958
dc.subjectSymplectic Geometry
dc.subjectGeometric Topology
dc.subject53D35, 57R17
dc.titleOpen books on contact five-manifolds
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