The Kobayashi metric and Gromov hyperbolicity on pseudoconvex domains of finite type in $\mathbb{C}^2$

Haichou Li; Xingsi Pu; Lang Wang

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arXiv · 2306.12140

The Kobayashi metric and Gromov hyperbolicity on pseudoconvex domains of finite type in $\mathbb{C}^2$

Haichou Li·Xingsi Pu·Lang Wang

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Abstract

In this paper, we obtain a more precise estimate of Catlin-type distance for smoothly bounded pseudoconvex domain of finite type in $\mathbb{C}^2$. As an application, we get an alternative proof of the Gromov hyperbolicity of this domain equipped with the Kobayashi distance.

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Haichou Li, Xingsi Pu, Lang Wang. 2023-06-21. The Kobayashi metric and Gromov hyperbolicity on pseudoconvex domains of finite type in $\mathbb{C}^2$. https://arxiv.org/abs/2306.12140

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