Drawing Cone Spherical Metrics via Strebel Differentials

被引：11

作者：

Song, Jijian ^{[1
]}

Cheng, Yiran ^{[2
]}

Li, Bo ^{[1
]}

Xu, Bin ^{[1
]}

机构：

[1] Chinese Acad Sci, Univ Sci & Technol China, Sch Math Sci, Wu Wen Tsun Lab Math,USTC, 96 Jinzhai Rd, Hefei 230026, Anhui, Peoples R China

[2] Univ Bonn, Math Inst, Endenicher Allee 60, D-53115 Bonn, Germany

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2020年 / 2020卷 / 11期

基金：

中国国家自然科学基金;

关键词：

CONICAL SINGULARITIES; CONSTANT CURVATURE; MODULI SPACE; INTERSECTION THEORY; CONFORMAL METRICS; CURVES; EQUATIONS;

D O I：

10.1093/imrn/rny103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Cone spherical metrics are conformal metrics with constant curvature one and finitely many conical singularities on compact Riemann surfaces. By using Strebel differentials as a bridge, we construct a new class of cone spherical metrics on compact Riemann surfaces by drawing on the surfaces some class of connected metric ribbon graphs.

引用

页码：3341 / 3363

页数：23

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