Groups quasi-isometric to symmetric spaces

Bruce Kleiner, Bernhard Leeb

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)239-260
Number of pages22
JournalCommunications in Analysis and Geometry
Volume9
Issue number2
StatePublished - Apr 2001

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Quasigroup
Finitely Generated Group
Symmetric Spaces
Isometric
Euclidean
Isometry Group
Exact Sequence
Factors

ASJC Scopus subject areas

  • Mathematics(all)
  • Geometry and Topology

Cite this

Groups quasi-isometric to symmetric spaces. / Kleiner, Bruce; Leeb, Bernhard.

In: Communications in Analysis and Geometry, Vol. 9, No. 2, 04.2001, p. 239-260.

Research output: Contribution to journalArticle

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