On volumes of arithmetic quotients of PO (n, 1)°, n odd

被引：16

作者：

Belolipetsky, Mikhail ^{[1
]}

Emery, Vincent ^{[2
]}

机构：

[1] IMPA, BR-22460320 Rio De Janeiro, Brazil

[2] Univ Fribourg, Dept Math, CH-1700 Fribourg, Switzerland

来源：

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2012年 / 105卷

基金：

英国工程与自然科学研究理事会; 瑞士国家科学基金会;

关键词：

HYPERBOLIC; 3-ORBIFOLD; MINIMAL VOLUME; SUBGROUPS; NUMBER;

D O I：

10.1112/plms/pds009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the minimal volume of arithmetic hyperbolic orientable n-dimensional orbifolds (compact and non-compact), for every odd dimension n >= 5. Combined with the previously known results it solves the minimal volume problem for arithmetic hyperbolic n-orbifolds in all dimensions.

引用

页码：541 / 570

页数：30

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