20 citations · 104 across the 13 of their papers we have counts for
13 papers
Finite Time Singularities of Collapsing Kähler Ricci Flow on Ruled Surfaces
Tongxin Xu, Zhenlei Zhang
We prove that any finite time collapsing Kähler Ricci flow on ruled surfaces develops a Type I singularity, such singularity is modeled on the standard product shrinker $\mathbb{P}…
Finite Time Type I Singularities of the Kähler Ricci Flow
Tongxin Xu, Zhenlei Zhang
We prove the Feldman--Ilmanen--Knopf conjecture for finite time Type I singularities of the Kähler--Ricci flow. More precisely, for any compact Kähler manifold and its blow-up…
Compactness and Rigidity of Complete Kähler Ricci Shrinkers
Tongxin Xu, Zhenlei Zhang
In this paper, we study compactness, rigidity, and related geometric properties of complete Kähler Ricci shrinkers through the polarized Fano fibration structure.
Laplace comparison on Kähler Ricci flow and convergence
Gang Tian, Qi S. Zhang, Zhenlei Zhang +2
We first prove a uniform integral Laplace comparison result for the Kähler Ricci flow on Fano manifolds which depends only on the initial metric. As an application, using Cheeger-C…
Collapsing behavior of Ricci-flat Kahler metrics and long time solutions of the Kahler-Ricci flow
Jian Song, Gang Tian, Zhenlei Zhang
We prove a uniform diameter bound for long time solutions of the normalized Kahler-Ricci flow on an -dimensional projective manifold with semi-ample canonical bundle under t…
Relative volume comparison of Ricci Flow and its applications
Gang Tian, Zhenlei Zhang
In this paper, we derive a relative volume comparison estimate along Ricci flow and apply it to studying the Gromov-Hausdorff convergence of Kähler-Ricci flow on a minimal manifold…