activity
20002022
most citedThe Kähler-Ricci flow on surfaces of positive Kodaira dimension

169 citations · 987 across the 66 of their papers we have counts for

collaborators

69 papers

math.DG2022

Horosymmetric limits of Kähler-Ricci flow on Fano -manifolds

Gang Tian, Xiaohua Zhu

In this paper, we prove that on a Fano -manifold , the Gromov-Hausdorff limit of Kähler-Ricci flow with initial metric in must be a -Fano ho…

math.DG2022★ 2 cited

A Note On Kähler-Ricci Flow on Fano Threefolds

Minghao Miao, Gang Tian

In this note, we show that the solution of Kähler-Ricci flow on every Fano threefold from the family No.2.23 in the Mori-Mukai's list develops type II singularity. In fact, we show…

math.DG2022

Kähler stability of symplectic forms

Jeffrey Streets, Gang Tian

Using dynamical stability of symplectic curvature flow, we show that on a compact Calabi-Yau manifold, any small symplectic deformation of a Kähler form remains Kähler.

math.DG2021

Kähler-Ricci flow for deformed complex structures

Gang Tian, Liang Zhang, Xiaohua Zhu

Let be a Fano manifold which admits a Kähler-Ricci soliton, we analyze the behavior of the Kähler-Ricci flow near this soliton as we deform the complex structure . F…

math.DG2020★ 13 cited

Basis divisors and balanced metrics

Yanir A. Rubinstein, Gang Tian, Kewei Zhang

Using log canonical thresholds and basis divisors Fujita--Odaka introduced purely algebro-geometric invariants whose limit in is now known to characterize uniform K-stabi…

math.DG2020

Singular Kähler-Einstein metrics on -Fano compactifications of Lie groups

Yan Li, Gang Tian, Xiaohua Zhu

In this paper, we prove an existence result for Kähler-Einstein metrics on -Fano compactifications of Lie groups. As an application, we classify -Fano compact…