Quasi-isometric classification of non-uniform lattices in semisimple groups of higher rank
type: Item
instance of: scholarly article
title: Quasi-isometric classification of non-uniform lattices in semisimple groups of higher rank
zbMATH Open document ID: 0955.22015
published in: Geometric and Functional Analysis. GAFA
publication date: 2000-11-22T00:00:00Z
review text: This paper gives an alternate proof of the classification of non-uniform lattices with respect to quasi-isometric equivalence in higher rank semisimple groups. This result was first proved by \textit{A. Eskin} [J. Am. Math. Soc. 11, 321-361 (1998; Zbl 0885.22017)]. In the paper under review, the result follows from a rigidity theorem. The proof of the rigidity theorem makes use of the asymptotic cone and the logarithmic flats moving away in the cusp with logarithmic speed.
reviewed by: Mark R. Sepanski
Mathematics Subject Classification ID: 22E40
Mathematics Subject Classification ID: 22E46
zbMATH DE Number: 1496601
zbMATH Keywords: lattices
zbMATH Keywords: higher rank semisimple groups
zbMATH Keywords: rigidity theorem
author: Cornelia Drutu
MaRDI profile type: Publication
full work available at URL: s000390050011
OpenAlex ID: W2071611304
DOI: 10.1007/S000390050011
description: scientific article; zbMATH DE number 1496601