Extremal disc packings in compact hyperbolic surfaces

被引：1
|
作者：
Girondo, Ernesto [1 ,2 ]
机构：
[1] Univ Autonoma Madrid, Dept Matemat, Campus Cantoblanco, E-28049 Madrid, Spain
[2] Inst Ciencias Matemat ICMAT, Nicolas Cabrera 13-15,Campus Cantoblanco, Madrid 28049, Spain
来源：
REVISTA MATEMATICA COMPLUTENSE | 2018年 / 31卷 / 02期
关键词：
Riemann surfaces; Extremal k-packings; Uniform Belyi functions; Triangle groups; FUCHSIAN-GROUPS;
D O I：
10.1007/s13163-017-0252-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study packings of metric discs with respect to the canonical hyperbolic metric of a compact Riemann surface of genus greater than one. We find the maximum radius of a packing as a function of the genus and the number of discs and we investigate some properties of the surfaces that contain an extremal packing.
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页码：467 / 478
页数：12
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