Manifolds with 1/4-pinched Curvature are Space Forms

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dc.creatorBrendle, S.
dc.creatorSchoen, R. M.
dc.date2007-05-06
dc.date2008-07-18
dc.date.accessioned2026-07-07T09:50:46Z
dc.date.available2026-07-07T09:50:46Z
dc.descriptionLet (M,g_0) be a compact Riemannian manifold with pointwise 1/4-pinched sectional curvatures. We show that the Ricci flow deforms g_0 to a constant curvature metric. The proof uses the fact, also established in this paper, that positive isotropic curvature is preserved by the Ricci flow in all dimensions. We also rely on earlier work of Hamilton and of Bohm and Wilking.
dc.descriptionFinal version, to appear in J. Amer. Math. Soc
dc.identifierhttps://arxiv.org/abs/0705.0766
dc.identifierhttp://arxiv.org/abs/0705.0766
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165060
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.titleManifolds with 1/4-pinched Curvature are Space Forms
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