Groups quasi-isometric to symmetric spaces
Groups quasi-isometric to symmetric spaces
复制标题
将拟等距空间分组为对称空间
DOI：
10.4310/cag.2001.v9.n2.a1
复制
发表时间：
1996
影响因子：
0.7
通讯作者：
B. Leeb
中科院分区：
文献类型：
--
作者：
B. Kleiner;B. Leeb
本文确定了与非紧型对称空间拟等距且允许Euclidean de Rham因子的非紧型对称空间X的生成群的结构。如果X是不具有Euclidean de Rham因子的非紧型对称空间，且X是与乘积Ek × X拟等距的非紧型生成群，则存在正合序列1 → H → → L → 1，其中H包含Zk的有限指数副本，L是X的等距群中的一致格。1
We determine the structure of finitely generated groups which are quasi-isometric to symmetric spaces of noncompact type, allowing Euclidean de Rham factors If X is a symmetric space of noncompact type with no Euclidean de Rham factor, and is a finitely generated group quasi-isometric to th e product E k × X, then there is an exact sequence 1 → H → → L → 1 where H contains a finite index copy of Z k and L is a uniform lattice in the isometry group of X. 1