We prove the existence of a Kähler–Einstein metric on a K–stable Fano manifold using the
recent compactness result on Kähler–Ricci flows. The key ingredient is an algebrogeometric …

We develop a compactness theory for super Ricci flows, which lays the foundations for the
partial regularity theory in Bamler (Structure Theory of Non-collapsed Limits of Ricci Flows …

In this paper we prove convergence and compactness results for Ricci flows with bounded
scalar curvature and entropy. More specifically, we show that Ricci flows with bounded …

It is well known that the Kähler–Ricci flow on a Kähler manifold X admits a long-time solution
if and only if X is a minimal model, ie, the canonical line bundle KX is nef. The abundance …

These lecture notes provide an introduction to the study of the Kähler–Ricci flow on compact
Kähler manifolds, and a detailed exposition of some recent developments. RÉSUMÉ.— Ces …

We localize the entropy functionals of G. Perelman and generalize his no-local-collapsing
theorem and pseudo-locality theorem. Our generalization is technically inspired by further …

We localize the entropy functionals of G. Perelman and generalize his no-local-collapsing
theorem and pseudo-locality theorem. Our generalization is technically inspired by further …

Let $(Z, p) $ be a pointed Gromov-Hausdorff limit of non-collapsing K\" ahler-Einstein metrics
with uniformly bounded Ricci curvature. We show that the singular K\" ahler-Einstein metric …

RIGIDITY OF THE ROUND CYLINDERS IN RICCI SHRINKERS Yu Li & Bing Wang Abstract
Contents 1. Introduction 817 2. Preliminaries Page 1 j. differential geometry 127 (2024) 817-897 …

In this paper, we prove Hamilton-Tian conjecture for Kähler-Ricci flow based on a recent
work of Liu-Székelyhidi on Tian's partical C 0-estimate for polarized Kähler metrics with Ricci …