Superrigidity for homomorphisms into isometry groups of \(\text{CAT}(-1)\) spaces
type: Item
instance of: scholarly article
title: Superrigidity for homomorphisms into isometry groups of \(\text{CAT}(-1)\) spaces
zbMATH Open document ID: 0888.22008
DOI: 10.1007/BF01234662
author: Yan Gao
published in: Transformation Groups
publication date: 1998-05-13T00:00:00Z
review text: A \(\text{CAT}(-1)\) space is a geodesic metric space in which the comparison maps of its geodesic triangles into the usual hyperbolic plane are distance increasing. In the paper three types of rigidity results related to \(\text{CAT}(-1)\) spaces are proved, namely the rigidity of the actions on \(\text{CAT}(-1)\) spaces under the commensurability subgroups, the higher rank lattices and certain ergodic cocycles.
Mathematics Subject Classification ID: 22E40
Mathematics Subject Classification ID: 22D40
Mathematics Subject Classification ID: 53A55
zbMATH DE Number: 1112318
zbMATH Keywords: \(\text{CAT}(-1)\) space
zbMATH Keywords: rigidity
zbMATH Keywords: commensurability subgroups
zbMATH Keywords: higher rank lattices
zbMATH Keywords: ergodic cocycles
zbMATH Keywords: superrigidity
zbMATH Keywords: boundary theory
reviewed by: Kaarin Riives
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01234662
OpenAlex ID: W2025579475
description: scientific article; zbMATH DE number 1112318