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.
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收藏
页码：755 / &
页数：46
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