A bound for diameter of arithmetic hyperbolic orbifolds

被引：2

作者：

Belolipetsky, Mikhail ^{[1
]}

机构：

[1] IMPA, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro, Brazil

来源：

GEOMETRIAE DEDICATA | 2021年 / 214卷 / 01期

关键词：

Arithmetic hyperbolic orbifold; diameter; volume; Cheeger constant; VOLUME;

D O I：

10.1007/s10711-021-00616-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let O be a closed n-dimensional arithmetic (real or complex) hyperbolic orbifold. We show that the diameter of O is bounded above by c(1) log vol(O) + c(2)/h(O), where h(O) is the Cheeger constant of O, vol(O) is its volume, and constants c1, c2 depend only on n.

引用

页码：295 / 302

页数：8

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