高维Möbius群几何形式的Jφrgensen不等式

The Geometric Jφrgensen's Inequalities of Möbius Groups in Higher Dimensions

本文给出了两个n维M(?)bius变换的共轭不变量,利用所得的不变量和不动点的交比,得到了两个关于高维非初等离散M(?)bius群的几何形式的Jφrgensen不等式.特别地,这两个不等式是共轭不变的.

In this paper, two invariants under conjugation of higher dimensional Mobius transformations are given and then two geometric J(?)rgensen's inequalities of discrete non-elementary Mobius groups in higher dimensions are obtained by using the given invariants and cross ratios of the fixed points. In particular, these inequalities are invariant under conjugation.