On the Carathéodory metric of universal Teichmüller space

被引：0

作者：

Krushkal S.L. ^{[1
,2
]}

机构：

[1] Department of Mathematics, Bar-Ilan University, Ramat Gan

[2] Department of Mathematics, University of Virginia, Charlottesville

来源：

Journal of Mathematical Sciences | 2022年 / 262卷 / 2期

关键词：

Carathéodory metric; Grunsky inequality; invariant metrics; quasiconformail map; Teichmüller space;

D O I：

10.1007/s10958-022-05809-9

中图分类号：

学科分类号：

摘要：

In contrast to finite dimensional Teichmüller spaces, all non-expanding invariant metrics on the universal Teichmüller space coincide. This important fact found various applications. We give its new, simplified proof based on some deep features of the Grunsky operator, which intrinsically relate to the universal Teichmüller space. This approach also yields a quantitative answer to Ahlfors’ question. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

引用

页码：184 / 193

页数：9

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