Line arrangements in H3

被引：2

作者：

Milley, P ^{[1
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 10期

关键词：

hyperbolic geometry; non; orientable manifolds;

D O I：

10.1090/S0002-9939-05-07875-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If M = H-3/G is a hyperbolic manifold and.. M is a simple closed geodesic, then. lifts to a collection of lines in H-3 acted upon by G. In this paper we show that such a collection of lines cannot contain a particular type of subset ( called a bad triple) unless G has orientation-reversing elements. This fact allows us to extend certain lower bounds on hyperbolic volume to the non-orientable case.

引用

页码：3115 / 3120

页数：6

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