克莱因群的拟对称普适性、拟等距分类与拓扑刚性
Quasisymmetric universality, quasi-isometric classification and topological rigidity of Kleinian groups
AI总结：
该研究针对克莱因群极限集，通过刻画几何有限极限集的拟对称普适性，实现有限生成克莱因群的拟等距分类及几乎拓扑刚性几何有限克莱因群的分类
AI中文摘要：
我们研究克莱因群极限集的拟对称分类，得到几何有限极限集为拟对称普适的刻画，据此实现有限生成克莱因群的拟等距分类，还得到几乎拓扑刚性几何有限克莱因群的分类
英文摘要：
We study the quasisymmetric classification of limit sets of Kleinian groups and obtain a characterization of those geometrically finite limit sets that are quasisymmetrically universal. This allows us to obtain a quasi-isometric classification of finitely generated Kleinian groups. We also obtain a classification of virtually topologically rigid geometrically finite Kleinian groups.
