包含抛物等距的群的离散性准则
A discreteness criterion for groups containing parabolic isometries
AI总结：
本文提出一个几何方法证明双曲空间中含抛物等距的群的离散性准则，推广了Shimizu-Leutbecher和Jorgensen的结果，并改进了高维的渐近界。
摘要：
本文证明了一个关于双曲空间中包含抛物元素的保向等距群的离散性准则。该准则可视为Shimizu-Leutbecher和Jorgensen在二维和三维空间中著名结果的推广，并与高维空间中的Waterman不等式密切相关。与Waterman的代数方法不同，本文给出的论证是几何的，并得到了改进的渐近界。
英文摘要：
This note will prove a discreteness criterion for groups of orientation-preserving isometries of the hyperbolic space which contain a parabolic element. It can be viewed as a generalization of the well-known results of Shimizu-Leutbecher and Jorgensen in dimensions 2 and 3, and is closely related to Waterman's inequality in higher dimensions. Unlike his algebraic method, the argument presented here is geometric and yields an improved asymptotic bound.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
