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.
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页码：295 / 302
页数：8
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