Curvature, Sphere Theorems, and the Ricci flow

DOI10.1090/S0273-0979-2010-01312-4zbMath1251.53020arXiv1001.2278OpenAlexW2963014064WikidataQ56212425 ScholiaQ56212425MaRDI QIDQ3067003

Simon Brendle, Richard M. Schoen

Publication date: 20 January 2011

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.2278

zbMATH Keywords

sphere theoremHamilton's Ricci flowpinched curvature

Mathematics Subject Classification ID

Related Items (13)

Minimal two-spheres of low index in manifolds with positive complex sectional curvature ⋮ Sphere theorems with and without smoothing ⋮ Three-dimensional trans-Sasakian manifolds and solitons ⋮ A survey on extensions of Riemannian manifolds and Bartnik mass estimates ⋮ Unnamed Item ⋮ Four-dimensional manifolds with pinched positive sectional curvature ⋮ Evolution equations in Riemannian geometry ⋮ Manifolds with nonnegative curvature operator of the second kind ⋮ Constructing electrically charged Riemannian manifolds with minimal boundary, prescribed asymptotics, and controlled mass ⋮ A geometric introduction to the two-loop renormalization group flow ⋮ \(W\)-semisymmetric generalized Sasakian-space-forms ⋮ Ancient solutions to the Ricci flow with pinched curvature ⋮ FOUR-MANIFOLDS WITH POSITIVE CURVATURE

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