Einstein metrics and the number of smooth structures on a four-manifold

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dc.creatorBraungardt, V.
dc.creatorKotschick, D.
dc.date2003-06-01
dc.date.accessioned2026-07-07T04:58:28Z
dc.date.available2026-07-07T04:58:28Z
dc.descriptionWe prove that for every natural number k there are simply connected topological four-manifolds which have at leat k distinct smooth structures supporting Einstein metrics, and also have infinitely many distinct smooth structures not supporting Einstein metrics. Moreover, all these smooth structures become diffeomorphic after connected sum with only one copy of the complex projective plane. We prove that manifolds with these properties cover a large geographical area.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0306021
dc.identifierhttp://arxiv.org/abs/math/0306021
dc.identifierTopology 44 (2005), 641--659
dc.identifierdoi:10.1016/j.top.2004.11.001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67647
dc.subjectGeometric Topology
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject57R55; 14J29, 14J80, 53C25, 57R57
dc.titleEinstein metrics and the number of smooth structures on a four-manifold
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