Counting horoballs and rational geodesics
微分几何
2007-05-23 v2 数论
摘要
Let M be a geometrically finite pinched negatively curved Riemannian manifold with at least one cusp. We study 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. In the appendix, due to K. Belabas, the case of SL(2,Z) and of Bianchi groups is developed.
引用
@article{arxiv.math/9912045,
title = {Counting horoballs and rational geodesics},
author = {Sa'ar Hersonsky and Frederic Paulin},
journal= {arXiv preprint arXiv:math/9912045},
year = {2007}
}
备注
7 pages,1 figure, Appendix by: K. Belabas (Orsay)