3 papers
math.DG2023
Finite time singularities of the Kähler-Ricci flow
Wangjian Jian, Jian Song, Gang Tian
We establish the scalar curvature and distance bounds, extending Perelman's work on the Fano Kähler-Ricci flow to general finite time solutions of the Kähler-Ricci flow. These boun…
math.DG2023
Geometric regularity of blow-up limits of the Kähler-Ricci flow
Max Hallgren, Wangjian Jian, Jian Song +1
We establish geometric regularity for Type I blow-up limits of the Kähler-Ricci flow based at any sequence of Ricci vertices. As a consequence, the limiting flow is continuous in t…
math.DG2023
A new proof of Perelman's scalar curvature and diameter estimates for the Kähler-Ricci flow on Fano manifolds
Wangjian Jian, Jian Song, Gang Tian
In this note, we give a new proof for Perelman's scalar curvature and diameter estimates for the Kähler-Ricci flow on Fano manifolds. The proof relies on a new Harnack estimate for…