THE MINIMAL VOLUME ORIENTABLE HYPERBOLIC 2-CUSPED 3-MANIFOLDS

被引：35

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.

引用

页码：3723 / 3732

页数：10

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