论文标题

Kobayashi双曲线凸形域不是界限到有限凸域的生物形态

Kobayashi hyperbolic convex domains not biholomorphic to bounded convex domains

论文作者

Zimmer, Andrew

论文摘要

我们构建了凸形域的家族,这些家族是对有限域而不是有限凸形域的生物形态的。这是通过发现与Kobayashi度量的Gromov双曲线相关的障碍物来完成的。

We construct families of convex domains that are biholomorphic to bounded domains, but not bounded convex domains. This is accomplished by finding an obstruction related to the Gromov hyperbolicity of the Kobayashi metric.

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