Kähler compactification of ${\mathbb{C}}^n$ and Reeb dynamics

Chi Li, Zhengyi Zhou

Let $X$ be a smooth complex manifold. Assume that $Y\subset X$ is a Kähler submanifold such that $X\setminus Y$ is biholomorphic to ${\mathbb{C}}^n$. We prove that $(X,Y)$ is biholo…