On the weak Kähler-Ricci flow

DOI10.1090/S0002-9947-2011-05015-4zbMath1219.53064WikidataQ125291589 ScholiaQ125291589MaRDI QIDQ3004354

Tian, Gang, Xiuxiong Chen, Zhou Zhang

Publication date: 1 June 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Kähler manifoldKähler-Ricci flow\(K\)-energy functional

Mathematics Subject Classification ID

Related Items (17)

Twisted Ricci flow on a class of Finsler metrics and its solitons ⋮ On the existence of constant scalar curvature Kähler metric: a new perspective ⋮ Singular Ricci Solitons and Their Stability under the Ricci Flow ⋮ Uniqueness and short time regularity of the weak Kähler-Ricci flow ⋮ Regularizing properties of the twisted Kähler-Ricci flow ⋮ On the extension and smoothing of the Calabi flow on complex tori ⋮ Ricci solitons, conical singularities, and nonuniqueness ⋮ A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics ⋮ Cusp Kähler-Ricci flow on compact Kähler manifolds ⋮ The modified cusp Kähler-Ricci flow and soliton ⋮ On weak super Ricci flow through neckpinch ⋮ The Kähler-Ricci flow through singularities ⋮ Kähler-Ricci flow of cusp singularities on quasi projective varieties ⋮ Kähler-Ricci flow with degenerate initial class ⋮ Orbifold regularity of weak Kähler-Einstein metrics ⋮ Bessel functions, heat kernel and the conical Kähler-Ricci flow ⋮ Weak solutions to degenerate complex Monge-Ampère flows. II

Cites Work

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• A new capacity for plurisubharmonic functions
• The Ricci flow on the 2-sphere
• Hölder continuity of solutions to the complex Monge-Ampère equation with the right-hand side in \(L^{p}\): the case of compact Kähler manifolds
• Space of Kähler metrics. III: On the lower bound of the Calabi energy and geodesic distance
• Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds
• Ricci deformation of the metric on a Riemannian manifold
• K-energy maps integrating Futaki invariants
• Kähler-Einstein metrics and the generalized Futaki invariant
• Kähler-Einstein metrics with positive scalar curvature
• Weak limits of Riemannian metrics in surfaces with integral curvature bound
• Ricci flow on Kähler-Einstein surfaces.
• The space of Kähler metrics.
• Numerical characterization of the Kähler cone of a compact Kähler manifold
• An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds. I.
• Three-manifolds with positive Ricci curvature
• On the Kähler-Ricci flow on projective manifolds of general type
• The Kähler-Ricci flow on surfaces of positive Kodaira dimension
• Ricci flow on Kähler-Einstein manifolds
• Lower bounds on the Calabi functional
• On degenerate Monge-Ampere equations over closed Kahler manifolds
• Convergence of Kähler-Ricci flow
• On regularization of plurisubharmonic functions on manifolds
• Scalar curvature and projective embeddings, II
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• The complex Monge-Ampère equation and pluripotential theory

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