Mu-Lin Li

collaborators

3 papers

math.AG2026

Locally rigid implies globally rigid in Kahler geometry

Mu-Lin Li

In this paper, we study the rigidity properties of compact Kahler manifolds. Given a smooth family of compact Kahler manifolds X over the unit disk, we show that all the fibers are…

math.AG2024

The holomorphic limit of Kahler manifolds

Mu-Lin Li

Let $π:\cX\to Δ$ be a smooth family of compact complex manifolds over the unit disk $Δ$ , whose fibers $\cX_{t}$ are Kähler for all $t \in Δ^{*}$ . If $π$ is Kähler at a point $t_0\inΔ^…

math.AG2024

The limits of Kahler manifolds under holomorphic deformations

Mu-Lin Li, Wanmin Liu

With some mild assumptions on metric and topology of the central fiber, we prove that the limit of Kahler manifolds under holomorphic deformation is still Kahler.