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<p>In this note we study the stability of the Kobayashi distances (under two types of scaling processes) on Levi corank one domains. As an application, based on local uniform estimates of the Kobayashi metrics and distances, we show that the Levi corank one domains are Gromov hyperbolic with respect to the Kobayashi distance.</p>

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Gromov hyperbolicity of pseudo-convex Levi corank one domains

  • 期刊论文

  • 发表日期：

    2025年3月23日

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  • Ben Zhang

摘要

In this note we study the stability of the Kobayashi distances (under two types of scaling processes) on Levi corank one domains. As an application, based on local uniform estimates of the Kobayashi metrics and distances, we show that the Levi corank one domains are Gromov hyperbolic with respect to the Kobayashi distance.