Metrics of positive scalar curvature and generalised Morse functions, part 1

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dc.creatorWalsh, Mark
dc.date2008-11-08
dc.date.accessioned2026-07-07T10:17:03Z
dc.date.available2026-07-07T10:17:03Z
dc.descriptionIt is well known that isotopic metrics of positive scalar curvature are concordant. Whether or not the converse holds is an open question, at least in dimensions greater than four. We show that for a particular type of concordance, constructed using the surgery techniques of Gromov and Lawson, this converse holds in the case of closed simply connected manifolds of dimension at least five.
dc.description81 pages, 61 figures
dc.identifierhttps://arxiv.org/abs/0811.1245
dc.identifierhttp://arxiv.org/abs/0811.1245
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173721
dc.subjectDifferential Geometry
dc.subjectAlgebraic Topology
dc.subject58J53; 53C20
dc.titleMetrics of positive scalar curvature and generalised Morse functions, part 1
dc.typetext

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