Volume formulae for fibred cone-manifolds with spherical geometry

被引：0

作者：

Kolpakov, A. A. ^{[1
]}

机构：

[1] Univ Toronto, Toronto, ON M5S 1A1, Canada

来源：

SBORNIK MATHEMATICS | 2016年 / 207卷 / 12期

关键词：

spherical geometry; cone-manifold; Seifert fibration; POLYGONS;

D O I：

10.1070/SM8489

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify cone-manifold structures on a three-dimensional sphere whose singular set consists of fibres of a Seifert fibration. We describe domains of existence of a spherical structure on these cone-manifolds in terms of cone angles, and obtain explicit analytic formulae for their volumes.

引用

页码：1693 / 1708

页数：16

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