Counting horoballs and rational geodesics

被引：7

作者：

Belabas, K

Hersonsky, S

Paulin, F

机构：

[1] Univ Paris 11, Math Lab, CNRS, UMR 8628, F-91405 Orsay, France

[2] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2001年 / 33卷

关键词：

D O I：

10.1112/S0024609301008244

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M be a geometrically finite pinched negatively curved Riemannian manifold with at least one cusp. The asymptotics of the number of geodesics in M starting from and returning to a given cusp, and of the number of horoballs at parabolic fixed points in the universal cover of M, are studied in this paper. The case of SL(2,Z), and of Bianchi groups, is developed.

引用

页码：606 / 612

页数：7

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