论文标题
抽象边界和生物形态的连续扩展
Abstract boundaries and continuous extension of biholomorphisms
论文作者
论文摘要
我们在$ {\ Mathbb C}^d $，$ d \ geq 1 $中介绍了有界完整（Kobayashi）双曲线域的抽象边界的不同结构。这些结构本质上来自度量空间的几何理论。作为应用程序，我们还提出了有关生物形态图的一些扩展结果。
We present different constructions of abstract boundaries for bounded complete (Kobayashi) hyperbolic domains in ${\mathbb C}^d$, $d \geq 1$. These constructions essentially come from the geometric theory of metric spaces. We also present, as an application, some extension results concerning biholomorphic maps.
