- Citations (33)
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Article: Manifolds with 1/4-pinched Curvature are Space Forms
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ABSTRACT: Let (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.06/2007; -
Article: Examples of Riemannian manifolds with positive curvature almost everywhere
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ABSTRACT: We show that the unit tangent bundle of S^4 and a real cohomology CP^3 admit Riemannian metrics with positive sectional curvature almost everywhere. These are the only examples so far with positive curvature almost everywhere that are not also known to admit positive curvature.11/1999; -
Article: Some exotic spheres with positive Ricci curvature
Mathematische Annalen 09/1975; 216(3):245-252. · 1.30 Impact Factor
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