论文标题
高级格子的双曲动作来自排名第一的因素
Hyperbolic actions of higher-rank lattices come from rank-one factors
论文作者
论文摘要
我们研究高级晶格$γ<g $在双曲线空间上的动作,我们表明所有满足轻度特性的动作都来自$ g $的排名第一因素。特别是,这种类型的双曲线空间上的所有非元素作用都是这种类型的。
We study actions of higher rank lattices $Γ<G$ on hyperbolic spaces, and we show that all such actions satisfying mild properties come from the rank-one factors of $G$. In particular, all non-elementary actions on an unbounded hyperbolic space are of this type.