论文标题
Kähler-Einstein电位对单位球的表征
A characterization of the unit ball by a Kähler-Einstein potential
论文作者
论文摘要
我们将证明，如果它承认Kähler-Einstein Metric的全球潜在功能，那么它的梯度长度是最小的常数，则具有足够的规范束的紧凑型Kähler歧管的通用覆盖是单位球。作为应用程序，我们将将Wong-Rosay定理扩展到没有边界的复杂歧管。
We will show that a universal covering of a compact Kähler manifold with ample canonical bundle is the unit ball if it admits a global potential function of the Kähler-Einstein metric whose gradient length is a minimal constant. As an application, we will extend the Wong-Rosay theorem to a complex manifold without boundary.
