27 citations · 74 across the 9 of their papers we have counts for
10 papers
Kähler-Ricci flow on -spherical Fano manifolds
Feng Wang, Xiaohua Zhu
We prove that the Gromov-Hausdorff limit of Kähler-Ricci flow on a -spherical Fano manifold is a -spherical -Fano variety , which a…
Uniformly strong convergence of Kähler-Ricci flows on a Fano manifold
Feng Wang, Xiaohua Zhu
In this paper, we study the uniformly strong convergence of Kähler-Ricci flow on a Fano manifold with varied initial metrics and smooth deformation complex structures. As an applic…
Tian's partial -estimate implies Hamilton-Tian's conjecture
Feng Wang, Xiaohua Zhu
In this paper, we prove the Hamilton-Tian conjecture for Kähler-Ricci flow based on a recent work of Liu-Székelyhidi on Tian's partical -estimate for poralized Kähler metrics…
On the existence of conic Kahler-Einstein metrics
Gang Tian, Feng Wang
In this paper, we prove the conic version of YTD conjecture on log Fano manifolds.
The uniform version of Yau-Tian-Donaldson conjecture for singular Fano varieties
Chi Li, Gang Tian, Feng Wang
We prove the following result: if a -Fano variety is uniformly K-stable, then it admits a Kähler-Einstein metric. We achieve this by modifying Berman-Boucksom-Jonsson's…
Cheeger-Colding-Tian theory for conic Kahler-Einstein metrics
Gang Tian, Feng Wang
In this paper is to extend the Cheeger-Colding Theory to the class of conic Kahler-Einstein metrics. This extension provides a technical tool for [LTW] in which we prove a version…
On the Yau-Tian-Donaldson conjecture for singular Fano varieties
Chi Li, Gang Tian, Feng Wang
We prove the Yau-Tian-Donaldson's conjecture for any -Fano variety that has a log smooth resolution of singularities such that the discrepancies of all exceptional divi…
Modified Futaki invariant and equivariant Riemann-Roch formula
Feng Wang, Bin Zhou, Xiaohua Zhu
In this paper, we give a new version of the modified Futaki invariant for a test configuration associated to the soliton action on a Fano manifold. Our version will naturally come…
Bergman Kernels and algebraic structure of limit space for a sequence of almost Kähler-Ricci solitons
Wenshuai Jiang, Feng Wang, Xiaohua Zhu
In this paper, we give a lower bound of Bergman kernels for a sequence of almost Kähler-Einstein Fano manifolds, or more general, a sequence of Fano manifolds with almost Kähler-Ri…
Structure of spaces with Bakry-Émery Ricci curvature bounded below
Feng Wang, Xiaohua Zhu
In this paper, we explore the limit structure of a sequence of Riemannian manifolds with Bakry-Émery Ricci curvature bounded below in the Gromov-Hausdorff topology. By extending th…