PING-PONG GROUPS AND CLOSED GEODESICS IN CONSTANT NEGATIVE CURVATURE

Authors
DALBO F PEIGNE M
Citation
F. Dalbo et M. Peigne, PING-PONG GROUPS AND CLOSED GEODESICS IN CONSTANT NEGATIVE CURVATURE, Annales de l'Institut Fourier, 46(3), 1996, pp. 755
Citations number
19
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Annales de l'Institut Fourier → ACNP
ISSN journal
03730956
Volume
46
Issue
3
Year of publication
1996
Database
ISI
SICI code
0373-0956(1996)46:3<755:PGACGI>2.0.ZU;2-E
Abstract
We consider a class of free and discrete groups of isometries of the h yperbolic ball B-d which contain parabolic transformations and we prov e that the number of closed geodesics on B-d/Gamma whose length is les ser than a is equivalent to e(a delta)/a delta, where delta is the cri tical exponent of the Poincare series.