The twisted Kähler-Ricci flow

DOI10.1515/crelle-2014-0010zbMath1357.53076arXiv1207.5441OpenAlexW2963754439MaRDI QIDQ2629833

Tristan C. Collins, Gábor Székelyhidi

Publication date: 7 July 2016

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5441

zbMATH Keywords

evolution equationKähler-Einstein metriccompact Kähler manifoldexponentially fast convergencenormalized twisted Kähler-Ricci flow

Mathematics Subject Classification ID

Related Items (20)

Uniqueness and short time regularity of the weak Kähler-Ricci flow ⋮ From the Kähler-Ricci flow to moving free boundaries and shocks ⋮ Regularizing properties of the twisted Kähler-Ricci flow ⋮ Comparison of the Calabi and Mabuchi geometries and applications to geometric flows ⋮ The (logarithmic) Sobolev inequalities along geometric flow and applications ⋮ Expanding Kähler-Ricci solitons coming out of Kähler cones ⋮ Gaussian upper bounds for the heat kernel on evolving manifolds ⋮ Isoperimetric inequality along the twisted Kähler-Ricci flow ⋮ 𝐿^{∞} estimates for Kähler-Ricci flow on Kähler-Einstein Fano manifolds: A new derivation ⋮ Space of Ricci flows. II. Part B: Weak compactness of the flows ⋮ The Kähler-Ricci flow and optimal degenerations ⋮ Regularity scales and convergence of the Calabi flow ⋮ The modified cusp Kähler-Ricci flow and soliton ⋮ A scalar curvature bound along the conical Kähler-Ricci flow ⋮ Pluripotential Kähler-Ricci flows ⋮ The generalized Kähler Ricci flow ⋮ Some refinements of the partial \(C^0\) estimate ⋮ The inverse Monge-Ampère flow and applications to Kähler-Einstein metrics ⋮ Scalar \(V\)-soliton equation and Kähler-Ricci flow on symplectic quotients ⋮ Stability of the conical Kähler-Ricci flows on Fano manifolds

Cites Work

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• A Uniform Sobolev Inequality Under Ricci Flow
• Kähler-Einstein metrics with edge singularities

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