Ping-pong groups and closed geodesics in constant negative curvature

被引：15

作者：

Dalbo, F

Peigne, M

机构：

来源：

ANNALES DE L INSTITUT FOURIER | 1996年 / 46卷 / 03期

关键词：

D O I：

10.5802/aif.1531

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a class of free and discrete groups of isometries of the hyperbolic ball B-d which contain parabolic transformations and we prove that the number of closed geodesics on B-d/Gamma whose length is lesser than a is equivalent to e(a delta)/a delta, where delta is the critical exponent of the Poincare series.

引用

页码：755 / &

页数：46

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