SOME METRIC PROPERTIES OF THE TEICHMULLER SPACE OF A CLOSED SET IN THE RIEMANN SPHERE

被引：0

作者：

Chatterjee, Nishan ^{[1
]}

机构：

[1] CUNY, Grad Ctr, Dept Math, 365 Fifth Ave, New York, NY 10016 USA

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2017年 / 42卷 / 02期

关键词：

Teichmiiller space of a closed set; Teichmiiller contraction; holomorphic isometrics; Schwarz's lemma; complex geodesics; HOLOMORPHIC MOTIONS; CONTRACTION;

D O I：

10.5186/aasfm.2017.4247

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E be an infinite closed set in the Riemann sphere, and let T(E) denote its Teichmiiller space. In this paper, we study some metric properties of T(E). We prove Earle's form of Teichmiiller contraction for T(E), holomorphic isometrics from the open unit disk into T(E), extend Earle's form of Schwarz's lemma for classical Teichmiiller spaces to T(E), and finally study complex geodesics and unique extremality for T(E).

引用

页码：755 / 770

页数：16

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