A compactness result for Kähler Ricci solitons

DOI10.1016/j.aim.2006.09.011zbMath1127.53055arXivmath/0504526OpenAlexW2022674623WikidataQ125620090 ScholiaQ125620090MaRDI QIDQ877740

Natasa Sesum, Huai-Dong Cao

Publication date: 3 May 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504526

zbMATH Keywords

convergenceorbifoldKähler-Ricci solutions

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Manifolds of metrics (especially Riemannian) (58D17)

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Space of Ricci Flows I, Compactness theorems for gradient Ricci solitons, On the structure of Ricci shrinkers, A note on the compactness theorem for 4d Ricci shrinkers, \(\epsilon\)-regularity for shrinking Ricci solitons and Ricci flows, Moduli spaces of critical Riemannian metrics with \(L^{\frac{n}{2}}\) norm curvature bounds, Compactness theory of the space of super Ricci flows, Space of Ricci flows. II. Part B: Weak compactness of the flows, Geometry of Ricci solitons, The entropy of Ricci flows with Type-I scalar curvature bounds, Bubble-tree convergence and local diffeomorphism finiteness for gradient Ricci shrinkers, Regularity and compactness of harmonic-Einstein equations, Regularity for the harmonic-Einstein equation, A compactness theorem for complete Ricci shrinkers, The rigidity of Ricci shrinkers of dimension four, The modified cusp Kähler-Ricci flow and soliton, The energy of a smooth metric measure space and applications, On the Ricci curvature of steady gradient Ricci solitons, Small curvature concentration and Ricci flow smoothing

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