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

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2024-06-05 DOI:10.1007/s10231-024-01466-8

Haichou Li, Xingsi Pu, Hongyu Wang

引用次数: 0

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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关于 $$\mathbb {C}^2$ 中有限类型伪凸域的 Gehring-Hayman 型定理

在本文中，我们得到了关于 $\mathbb {C}^2$ 中有限类型的平滑有界伪凸域的 Gehring-Hayman 型定理。作为应用，我们对这些域的边界点附近的全局小林距离和局部小林距离进行了定量比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.

The Gehring–Hayman type theorem on pseudoconvex domains of finite type in \(\mathbb {C}^2\)

Abstract