26 citations · 32 across the 9 of their papers we have counts for
9 papers
Regularizing property of the twisted conical Kähler-Ricci flow
Jiawei Liu, Shiyu Zhang, Xi Zhang
In this paper, we show the regularity and uniqueness of the twisted conical Kähler-Ricci flow running from a positive closed current with zero Lelong number, which extends the regu…
Limit behavior of the twisted conical Kähler-Ricci flow with change in the cone angle
Jiawei Liu, Xi Zhang
In this paper, we study the limit behavior of the conical Kähler-Ricci flow as its cone angle tends to zero. More precisely, we prove that as the cone angle tends to zero, the coni…
Ricci flow starting from an embedded closed convex surface in
Jiuzhou Huang, Jiawei Liu
In this paper, we establish the existence and uniqueness of Ricci flow that admits an embedded closed convex surface in as metric initial condition. The main point i…
Stability of the conical Kähler-Ricci flows on Fano manifolds
Jiawei Liu, Xi Zhang
In this paper, we study the stability of the conical Kähler-Ricci flows on Fano manifolds. That is, if there exists a conical Kähler-Einstein metric with cone angle along the…
Cusp Kähler-Ricci flow on compact Kähler manifold
Jiawei Liu, Xi Zhang
In this paper, by limiting twisted conical Kähler-Ricci flows, we prove the long-time existence and uniqueness of cusp Kähler-Ricci flow on compact Kähler manifold which carrie…
The conical complex Monge-Ampère equations on Kähler manifolds
Jiawei Liu, Chuanjing Zhang
In this paper, by providing the uniform gradient estimates for a sequence of the approximating equations, we prove the existence, uniqueness and regularity of the conical parabolic…
The conical Kähler-Ricci flow with weak initial data on Fano manifold
Jiawei Liu, Xi Zhang
In this paper, we prove the long-time existence and uniqueness of the conical Kähler-Ricci flow with weak initial data which admits density for some on Fano manifold.…
Twisted and conical Kähler-Ricci soliton on Fano manifolds
Xishen Jin, Jiawei Liu, Xi Zhang
In this paper, we consider the twisted Kähler-Ricci soliton, and show that the existence of twisted Kähler-Ricci soliton with semi-positive twisting form is closely related to the…
The conical Kähler-Ricci flow on Fano manifolds
Jiawei Liu, Xi Zhang
In this paper, we study the long-term behavior of the conical Kähler-Ricci flow on Fano manifold . First, based on our work of locally uniform regularity for the twisted Kähler-…