Degeneration of Kähler–Ricci Solitons

DOI10.1093/imrn/rnr036zbMath1244.53055arXiv1006.1577OpenAlexW2588696449WikidataQ125295791 ScholiaQ125295791MaRDI QIDQ3224204

Tian, Gang, Zhen Lei Zhang

Publication date: 29 March 2012

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.1577

zbMATH Keywords

Kähler-Ricci solitonsGromov-Hausdorff limitKähler-Ricci flowshrinking solitonFutaki invariant

Mathematics Subject Classification ID

Related Items (16)

Frankel conjecture and Sasaki geometry ⋮ Kähler-Einstein metrics along the smooth continuity method ⋮ On the structure of Ricci shrinkers ⋮ Regularity of the Kähler-Ricci flow ⋮ A note on the compactness theorem for 4d Ricci shrinkers ⋮ \(\epsilon\)-regularity for shrinking Ricci solitons and Ricci flows ⋮ Schauder type estimates for ``flat viscosity solutions to non-convex fully nonlinear parabolic equations and applications ⋮ Kähler-Einstein metrics ⋮ Existence of Kähler-Ricci solitons on smoothable \(\mathbb{Q}\)-Fano varieties ⋮ Regularity of Kähler-Ricci flows on Fano manifolds ⋮ The structure of spaces with Bakry-Émery Ricci curvature bounded below ⋮ A compactness result for Fano manifolds and Kähler Ricci flows ⋮ Some refinements of the partial \(C^0\) estimate ⋮ New volume comparison results and applications to degeneration of Riemannian metrics ⋮ Bounds on harmonic radius and limits of manifolds with bounded Bakry-Émery Ricci curvature ⋮ Perelman’s entropy and Kähler-Ricci flow on a Fano manifold

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