Smoothing metrics on closed Riemannian manifolds through the Ricci flow

DOI10.1007/s10455-011-9262-4zbMath1247.53042arXiv1104.1702OpenAlexW2041333724WikidataQ115384606 ScholiaQ115384606MaRDI QIDQ652585

Yun Yan Yang

Publication date: 14 December 2011

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.1702

zbMATH Keywords

Riemannian manifoldRicci curvaturesectional curvatureRicci flowRiemannian curavture tensor

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (2)

Smoothing Riemannian metrics with bounded Ricci curvatures in dimension four. II ⋮ Small curvature concentration and Ricci flow smoothing

Cites Work

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• Bach-flat asymptotically locally Euclidean metrics
• Three-manifolds with positive Ricci curvature
• Smoothing Riemannian metrics with Ricci curvature bounds
• Local volume estimate for manifolds with \(L^2\)-bounded curvature
• Curvature and injectivity radius estimates for Einstein 4-manifolds
• Convergence of riemannian manifolds with integral bounds on curvature. I
• Almost flat manifolds

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