Ricci flow with surgery on manifolds with positive isotropic curvature

DOI10.4007/annals.2019.190.2.2zbMath1423.53080arXiv1711.05167OpenAlexW2969808372MaRDI QIDQ2273998

Simon Brendle

Publication date: 19 September 2019

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.05167

zbMATH Keywords

Ricci flowsurgerycurvature pinchingdifferential Harnack inequalityblow-up limits

Mathematics Subject Classification ID

Related Items (16)

A planarity estimate for pinched solutions of mean curvature flow ⋮ Ricci flow on manifolds with boundary with arbitrary initial metric ⋮ Uniqueness and stability of singular Ricci flows in higher dimensions ⋮ Manifolds with \(4\frac{1}{2}\)-positive curvature operator of the second kind ⋮ New curvature conditions for the Bochner technique ⋮ Kähler-Ricci shrinkers and ancient solutions with nonnegative orthogonal bisectional curvature ⋮ Curvature of the second kind and a conjecture of Nishikawa ⋮ Rotational symmetry of ancient solutions to the Ricci flow in higher dimensions ⋮ Complete hypersurfaces of constant isotropic curvature in space forms ⋮ Ancient solutions to the Ricci flow with isotropic curvature conditions ⋮ Uniqueness of compact ancient solutions to the higher-dimensional Ricci flow ⋮ Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions ⋮ Ricci flow under Kato-type curvature lower bound ⋮ Kähler manifolds and the curvature operator of the second kind ⋮ The commutative nonassociative algebra of metric curvature tensors ⋮ On the Ricci flow of homogeneous metrics on spheres

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