THE MINIMAL VOLUME ORIENTABLE HYPERBOLIC 2-CUSPED 3-MANIFOLDS

被引：34
|
作者：
Agol, Ian [1 ]
机构：
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 10期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1090/S0002-9939-10-10364-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that the Whitehead link complement and the (-2,3,8) pretzel link complement are the minimal volume orientable hyperbolic 3-manifolds with two cusps, with volume 3.66... = 4 x Catalan's constant. We use topological arguments to establish the existence of an essential surface which provides a lower bound on volume and strong constraints on the manifolds that realize that lower bound.
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页码：3723 / 3732
页数：10
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