Existence of Engel structures

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dc.creatorVogel, T.
dc.date2004-11-10
dc.date.accessioned2026-07-07T12:27:14Z
dc.date.available2026-07-07T12:27:14Z
dc.descriptionWe develop a construction of Engel stuctures on 4-manifolds based on decompositions of manifolds into round handles. This allows us to show that all parallelizable 4-manifolds admit an Engel structure. We also show that, given two Engel manifolds M_1,M_2 satisfying a certain condition on the characteristic foliation, there is an Engel structure on M_1#M_2#(S^2xS^2) which is closely related to the original Engel structures.
dc.description57 pages, 14 figures
dc.identifierhttps://arxiv.org/abs/math/0411217
dc.identifierhttp://arxiv.org/abs/math/0411217
dc.identifierAnnals of Math. 169 (2009), 79--137
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215140
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57R (primary); 58A, 53D (secondary)
dc.titleExistence of Engel structures
dc.typetext

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