On the horocyclic coordinate for Teichmuller space of once punctured tori

被引：3

作者：

Miyachi, H ^{[1
]}

机构：

[1] Osaka City Univ, Dept Math, Sumiyoshi Ku, Osaka 5588585, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 04期

关键词：

D O I：

10.1090/S0002-9939-01-06170-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with analytic and geometric properties of the Maskit embedding of the Teichmuller space of once punctured tori. We show that the image of this embedding has an inward-pointing cusp and study the boundary behavior of conformal automorphisms. These results are proved using Y.N. Minsky's Pivot Theorem.

引用

页码：1019 / 1029

页数：11

共 50 条

[31] Tessellating the Moduli Space of Strictly Convex Projective Structures on the Once-Punctured Torus
Haraway, Robert C.
Tillmann, Stephan
EXPERIMENTAL MATHEMATICS, 2019, 28 (03) : 369 - 384
[32] Commensurability between once-punctured torus groups and once-punctured Klein bottle groups
Furokawa, Mikio
HIROSHIMA MATHEMATICAL JOURNAL, 2016, 46 (02) : 217 - 253
[33] Pressure metrics and Manhattan curves for Teichmuller spaces of punctured surfaces
Kao, Lien-Yung
ISRAEL JOURNAL OF MATHEMATICS, 2020, 240 (02) : 567 - 602
[34] Non-completeness of Zograf-Takhtajan's Kahler metric for Teichmuller space of punctured Riemann surfaces
Obitsu, K
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 205 (02) : 405 - 420
[35] Uniformization of a Once-Punctured Annulus
Zhang, Tanran
COMPUTATIONAL METHODS AND FUNCTION THEORY, 2015, 15 (01) : 75 - 91
[36] Uniformization of a Once-Punctured Annulus
Tanran Zhang
Computational Methods and Function Theory, 2015, 15 : 75 - 91
[37] Earthquakes on the Once-Punctured Torus
Garden, Grace S.
EXPERIMENTAL MATHEMATICS, 2024, 33 (04) : 781 - 807
[38] Boundary slopes of punctured tori in 3-manifolds
Gordon, CM
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 350 (05) : 1713 - 1790
[39] CONVERGENCE OF TEICHMULLER DEFORMATIONS IN THE UNIVERSAL TEICHMULLER SPACE
Miyachi, Hideki
Saric, Dragomir
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 147 (11) : 4877 - 4889
[40] Limits of Teichmuller geodesics in the Universal Teichmuller space
Hakobyan, Hrant
Saric, Dragomir
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2018, 116 : 1599 - 1628

← 1 2 3 4 5 →