Estimates of the Kobayashi metric and Gromov hyperbolicity on convex domains of finite type

被引：0

作者：

Wang, Hongyu ^{[1
,2
]}

机构：

[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

[2] Beijing Univ Posts & Telecommun, Key Lab Math & Informat Networks, Minist Educ, Beijing, Peoples R China

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2024年 / 110卷 / 02期

关键词：

PSEUDOCONVEX DOMAINS; EXTREMAL BASES;

D O I：

10.1112/jlms.12966

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give a local estimate for the Kobayashi distance on a bounded convex domain of finite type, which relates to a local pseudodistance near the boundary. The estimate is precise up to a bounded additive term. Also, we conclude that the domain equipped with the Kobayashi distance is Gromov hyperbolic that gives another proof of the result of Zimmer.

引用

页数：28

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