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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…