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

Haichou Li; Xingsi Pu; Hongyu Wang

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

Complex Variables 2023-10-17 v1

Authors: Haichou Li , Xingsi Pu , Hongyu Wang

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.

Keywords

gehring-hayman theorem pseudoconvex domains finite type c2 kobayashi distance

Cite

@article{arxiv.2310.10306,
  title  = {The Gehring-Hayman type theorem on pseudoconvex domains of finite type in $\mathbb{C}^2$},
  author = {Haichou Li and Xingsi Pu and Hongyu Wang},
  journal= {arXiv preprint arXiv:2310.10306},
  year   = {2023}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2301.06411

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