Einstein Metrics, Four-Manifolds, and Differential Topology

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dc.creatorLeBrun, Claude
dc.date2004-04-20
dc.date.accessioned2026-07-07T05:07:35Z
dc.date.available2026-07-07T05:07:35Z
dc.descriptionThis article presents a new and more elementary proof of the main Seiberg-Witten-based obstruction to the existence of Einstein metrics on smooth compact 4-manifolds. It also introduces a new smooth manifold invariant which conveniently encapsulates those aspects of Seiberg-Witten theory most relevant to the study of Riemannian variational problems on 4-manifolds.
dc.description21 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/0404359
dc.identifierhttp://arxiv.org/abs/math/0404359
dc.identifierSurveys in Differential Geometry, vol. VIII: Papers in Honor of Calabi, Lawson, Siu, and Uhlenbeck. S.-T. Yau, editor. International Press of Boston, 2003, pp. 235--255
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70913
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.subject53C25, 57R57
dc.titleEinstein Metrics, Four-Manifolds, and Differential Topology
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