Abstract
We determine the structure of finitely generated groups which are quasi-isometric to nonpositively curved symmetric spaces, allowing Euclidean de Rham factors. If X is a symmetric space of noncompact type (i.e. it has no Euclidean de Rham factor), and Γ is a finitely generated group quasi-isometric to the product double-struck E signk x X, then there is an exact sequence 1 → H → Γ → L → 1 where H . contains a finite index copy of ℤk and L is a uniform lattice in the isometry group of X.
Original language | English (US) |
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Pages (from-to) | 239-260 |
Number of pages | 22 |
Journal | Communications in Analysis and Geometry |
Volume | 9 |
Issue number | 2 |
State | Published - Apr 2001 |
ASJC Scopus subject areas
- Analysis
- Statistics and Probability
- Geometry and Topology
- Statistics, Probability and Uncertainty