ESTIMATES OF THE HYPERBOLIC METRIC ON THE TWICE PUNCTURED PLANE

被引：1

作者：

Kim, Seong-A ^{[1
]}

Ma, Jinxi ^{[2
]}

Ma, William ^{[3
]}

机构：

[1] Dongguk Univ, Dept Math Educ, Gyeongju 780714, South Korea

[2] Beihang Univ, Dept Math, Beijing 100083, Peoples R China

[3] Penn Coll Technol, Sch Sci Humanities & Visual Commun, Williamsport, PA 17701 USA

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2015年 / 40卷 / 02期

关键词：

Hyperbolic metric; Landau's Theorem;

D O I：

10.5186/aasfm.2015.4058

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide various estimates of the hyperbolic metric on the twice punctured plane C\{0, 1} and apply them to improve Landau's Theorem. We also improve Ahlfors' upper bound for the hyperbolic metric on the twice punctured plane C\{0, 1}.

引用

页码：875 / 887

页数：13

共 50 条

[21] The Maskit embedding of the twice punctured torus
Series, Caroline
GEOMETRY & TOPOLOGY, 2010, 14 (04) : 1941 - 1991
[22] Shrunk loop theorem for the topology probabilities of closed Brownian (or Feynman) paths on the twice punctured plane
Giraud, O
Thain, A
Hannay, JH
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (08): : 2913 - 2935
[23] The Uniformisation of a Twice-Punctured Disc
Alan F. Beardon
Computational Methods and Function Theory, 2012, 12 : 585 - 596
[24] On hyperbolic once-punctured-torus bundles III: Comparing two tessellations of the complex plane
Dicks, Warren
Sakuma, Makoto
TOPOLOGY AND ITS APPLICATIONS, 2010, 157 (12) : 1873 - 1899
[25] Examples of pleating varieties for twice punctured tori
Díaz, R
Series, C
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 356 (02) : 621 - 658
[26] QUASICONFORMAL MAPPINGS OF THE PUNCTURED PLANE
REICH, E
STREBEL, K
LECTURE NOTES IN MATHEMATICS, 1983, 1013 : 182 - 212
[27] Deforming an ε-close-to-hyperbolic metric to a hyperbolic metric
Ontaneda, Pedro
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2018, 148 (03) : 629 - 641
[28] SPIDERS' WEBS IN THE PUNCTURED PLANE
Evdoridou, Vasiliki
Marti-Pete, David
Sixsmith, David J.
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2020, 45 : 511 - 531
[29] Comparison Between a Gromov Hyperbolic Metric and the Hyperbolic Metric
Zhang, Xiaohui
COMPUTATIONAL METHODS AND FUNCTION THEORY, 2018, 18 (04) : 717 - 722
[30] Comparison Between a Gromov Hyperbolic Metric and the Hyperbolic Metric
Xiaohui Zhang
Computational Methods and Function Theory, 2018, 18 : 717 - 722

← 1 2 3 4 5 →