On the Scalar Curvature of Einstein Manifolds

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dc.creatorCatanese, Fabrizio
dc.creatorLeBrun, Claude
dc.date1997-05-14
dc.date.accessioned2026-07-07T09:13:05Z
dc.date.available2026-07-07T09:13:05Z
dc.descriptionWe show that there are high-dimensional smooth compact manifolds which admit pairs of Einstein metrics for which the scalar curvatures have opposite signs. These are counter-examples to a conjecture considered by Besse. The proof hinges on showing that the Barlow surface has small deformations with ample canonical line bundle.
dc.descriptionLaTeX. 14 pages
dc.identifierhttps://arxiv.org/abs/dg-ga/9705007
dc.identifierhttp://arxiv.org/abs/dg-ga/9705007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152243
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.titleOn the Scalar Curvature of Einstein Manifolds
dc.typetext

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