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
收藏
页码：1693 / 1708
页数：16
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