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.
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页数：28
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