Mu-Lin Li

collaborators

3 papers

math.AG2026

The holomorphic limit of Kahler manifolds

Mu-Lin Li

Let $Ï:\cX\to Î$ be a smooth family of compact complex manifolds over the unit disk $I^$ , whose fibers $\cX_{t}$ are KÃ¤hler for all $t \in I^^{*}$ . If $I ¨ $ is KÃ¤hler at a point $t…

math.AG2026

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.

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…