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.
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页码：443 / 450
页数：8
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