Spherical metrics with conical singularities on 2-spheres

被引：6

作者：

Dey, Subhadip ^{[1
]}

机构：

[1] Univ Calif Davis, Dept Math, 1 Shields Ave, Davis, CA 95616 USA

来源：

GEOMETRIAE DEDICATA | 2018年 / 196卷 / 01期

关键词：

Surfaces; Conical singularities; Spherical metrics; CURVATURE;

D O I：

10.1007/s10711-017-0306-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose that.1,.2,...,.n are positive numbers and n = 3. We want to know whether there exists a spherical metric on S2 with n conical singularities of angles 2p.1, 2p.2,..., 2p.n. A sufficient condition was obtained by Mondello and Panov (Int Math Res Not 2016(16): 4937-4995, 2016). We show that their condition is also necessary when we assume that theta(1), theta(2), ..., theta(n) is not an element of N.

引用

页码：53 / 61

页数：9

共 8 条

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