Convergence of the Kähler–Ricci flow on Fano manifolds

DOI10.1515/crelle.2012.021zbMath1276.14061arXiv1102.4798OpenAlexW2320714001WikidataQ116276813 ScholiaQ116276813MaRDI QIDQ4924511

Tian, Gang, Xiaohua Zhu

Publication date: 6 June 2013

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.4798

zbMATH Keywords

Fano manifoldKähler-Ricci flowW-functional

Mathematics Subject Classification ID

Related Items (31)

Convergence of Ricci flows with bounded scalar curvature ⋮ The twisted Kähler-Ricci flow ⋮ Stability of Kähler-Ricci flow on a Fano manifold ⋮ Tian's partial \(C^0\)-estimate implies Hamilton-Tian's conjecture ⋮ Generalized Kähler-Ricci flow on toric Fano varieties ⋮ The Kähler-Ricci flow on Fano bundles ⋮ Rigidity of \(\kappa \)-noncollapsed steady Kähler-Ricci solitons ⋮ Examples of K-unstable Fano manifolds ⋮ Equivariant \(\mathbb{R}\)-test configurations and semistable limits of \(\mathbb{Q}\)-Fano group compactifications ⋮ Kähler-Ricci flow on Fano manifolds ⋮ 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 ⋮ Collapsing with a lower bound on the curvature operator ⋮ Dynamic instability of \(\mathbb {CP}^N\) under Ricci flow ⋮ The Kähler–Ricci Flow on CP2 ⋮ Pluriclosed Flow and the Geometrization of Complex Surfaces ⋮ Conical Kähler-Ricci flows on Fano manifolds ⋮ Regularity of Kähler-Ricci flows on Fano manifolds ⋮ A compactness result for Fano manifolds and Kähler Ricci flows ⋮ Compact Hermitian symmetric spaces, coadjoint orbits, and the dynamical stability of the Ricci flow ⋮ Gradient Kähler-Ricci solitons with nonnegative orthogonal bisectional curvature ⋮ On the convergence of the Calabi flow ⋮ Uniformly strong convergence of Kähler-Ricci flows on a Fano manifold ⋮ Stability of the conical Kähler-Ricci flows on Fano manifolds ⋮ Perelman’s entropy and Kähler-Ricci flow on a Fano manifold ⋮ The Kähler-Ricci flow, holomorphic vector fields and Fano bundles ⋮ The soliton-Ricci flow with variable volume forms ⋮ Kähler-Ricci flow for deformed complex structures ⋮ K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics

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