有限类型凸域上的小林度量和格罗莫夫双曲性估算

IF 1 2区数学 Q1 MATHEMATICS Journal of the London Mathematical Society-Second Series Pub Date : 2024-07-20 DOI:10.1112/jlms.12966

Hongyu Wang

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引用次数: 0

摘要

本文给出了有限类型有界凸域上小林距离的局部估计值，它与边界附近的局部伪距有关。该估计值精确到有界加法项。此外，我们还得出结论，具有小林距离的域是格罗莫夫双曲的，这给出了齐美尔结果的另一个证明。

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

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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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.