Ka-Fai Li

activity

20142020

most citedDeforming complete Hermitian metrics with unbounded curvature

10 citations · 14 across the 6 of their papers we have counts for

collaborators

Showing math.DGShow all

6 papers · 1 filter

math.DG2020

Deformation of Hermitian metrics

Man-Chun Lee, Ka-Fai Li

In this work, we study the deformation of Hermitian metrics with Chern connection. By adapting the conformal perturbation method of Aubin and Ehrlich to Hermitian setting, we prove…

math.DG2019★ 1 cited

The K"ahler-Ricci flow with Log Canonical Singularities

Albert Chau, Huabin Ge, Ka-Fai Li +1

We establish the existence of the K"ahler-Ricci flow on projective varieties with log canonical singularities. This generalizes some of the existence results of Song-Tian \cite{ST3…

math.DG2017

Kähler-Ricci flow of cusp singularities on quasi projective varieties

Albert Chau, Ka-Fai Li, Liangming Shen

Let $M$ be a compact complex manifold with smooth Kähler metric $η$ , and let $D$ be a smooth divisor on $M$ . Let $M = M ∖ D$ and let $ω^$ b…

math.DG2015

An existence time estimate for Kähler-Ricci flow

Albert Chau, Ka Fai Li, Luen-Fai Tam

Fix a complete noncompact \K manifold $(M^{n}, h_{0})$ with bounded curvature. Let $g (t)$ be a bounded curvature solution to the \KR flow starting from some $g_{0}$ uniformly equivalent t…

math.DG2014★ 3 cited

Longtime existence of the Kähler-Ricci flow on $C^{n}$

Albert Chau, Ka-Fai Li, Luen-Fai Tam

We produce longtime solutions to the Kähler-Ricci flow for complete Kähler metrics on $C^{n}$ without assuming the initial metric has bounded curvature, thus extending results…

math.DG2014★ 10 cited

Deforming complete Hermitian metrics with unbounded curvature