4 papers
CscK metrics near the canonical class
Bin Guo, Wangjian Jian, Yalong Shi +1
Let be a Kähler manifold with semi-ample canonical bundle . It is proved by Jian-Shi-Song that for any Kähler class , there exists such that for all …
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…
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…
estimates for Kähler-Ricci flow on Kähler-Einstein Fano manifolds: a new derivation
Wangjian Jian, Yalong Shi
Assuming Perelman's estimates, we give a new proof of uniform estimate along normalized Kähler-Ricci flow on Fano manifolds with Kähler-Einstein metrics, using Chen-Chen…