Obstruction theory on 8-manifolds

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dc.creatorCadek, Martin
dc.creatorCrabb, Michael
dc.creatorVanzura, Jiri
dc.date2007-10-03
dc.date.accessioned2026-07-07T10:13:30Z
dc.date.available2026-07-07T10:13:30Z
dc.descriptionThis note gives a uniform, self-contained, and fairly direct approach to a variety of obstruction-theoretic problems on 8-manifolds. We give necessary and sufficient cohomological critera for the existence of almost complex and almost quaternionic structures on the tangent bundle and for the reduction of the structure group to U(3) by the homomorphism U(3) --> O(8) given by the Lie algebra representation of PU(3).
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0710.0734
dc.identifierhttp://arxiv.org/abs/0710.0734
dc.identifiermanuscripta math. 127 (2008), 167-186
dc.identifierdoi:10.1007/s00229-008-0203-x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172552
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.subject55R50, 57N16
dc.titleObstruction theory on 8-manifolds
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