DETERMINING HYPERBOLIC 3-MANIFOLDS BY THEIR SURFACES

被引：1

作者：

McReynolds, D. B. ^{[1
]}

Reid, A. W. ^{[2
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47906 USA

[2] Rice Univ, Dept Math, Houston, TX 77005 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 01期

基金：

美国国家科学基金会;

关键词：

ISOSPECTRAL MANIFOLDS; COMMENSURABILITY; GEODESICS; SPECTRUM;

D O I：

10.1090/proc/14219

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we prove that the commensurability class of a closed, orientable, hyperbolic 3-manifold is determined by the surface subgroups of its fundamental group. Moreover, we prove that there can be only finitely many closed, orientable, hyperbolic 3-manifolds that have the same set of surfaces.

引用

页码：443 / 450

页数：8

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