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The Gehring-Hayman type theorem on pseudoconvex domains of finite type in $\mathbb{C}^2$

Published 16 Oct 2023 in math.CV | (2310.10306v1)

Abstract: In this paper, we obtain the Gehring-Hayman type theorem on smoothly bounded pseudoconvex domains of finite type in $\mathbb{C}2$. As an application, we provide a quantitative comparison between global and local Kobayashi distances near a boundary point for these domains.

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