4 citations · 8 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
A note on curvature estimate of the Hermitian-Yang-Mills flow
Jiayu Li, Chuanjing Zhang, Xi Zhang
In this paper, we study the curvature estimate of the Hermitian-Yang-Mills flow on holomorphic vector bundles. In one simple case, we show that the curvature of the evolved Hermiti…
The limit of the Yang-Mills-Higgs flow on Higgs bundles
Jiayu Li, Xi Zhang
In this paper, we consider the gradient flow of the Yang-Mills-Higgs functional for Higgs pairs on a Hermitian vector bundle over a compact Kähler manifold . W…
Regularity estimates of solutions to complex Monge-Ampère equations on Hermitian manifolds
Xi Zhang, XiangWen Zhang
In this paper, we obtain the Bedford-Taylor interior estimate and local Calabi estimate for the solutions to complex Monge-Ampère equations on Hermitian manifolds.