Covolume estimates for discrete groups of hyperbolic isometries having parabolic elements
type: Item
instance of: scholarly article
title: Covolume estimates for discrete groups of hyperbolic isometries having parabolic elements
zbMATH Open document ID: 0824.57024
author: Sa'ar Hersonsky
published in: Michigan Mathematical Journal
publication date: 1994-08-17T00:00:00Z
review text: We address the problem of estimating the covolume of a discrete group of orientation-preserving isometries of hyperbolic space in any dimension. We provide a general method for obtaining a lower bound for the covolume in the case that the group has parabolic elements. For a torsion-free discrete group of orientation-preserving isometries of hyperbolic 4-space having parabolic elements, we give an explicit lower bound.
Mathematics Subject Classification ID: 57S30
Mathematics Subject Classification ID: 22E40
zbMATH DE Number: 614383
zbMATH Keywords: covolume of a discrete group of orientation-preserving isometries of hyperbolic space
zbMATH Keywords: parabolic elements
zbMATH Keywords: torsion-free discrete group
zbMATH Keywords: hyperbolic 4-space
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1307/mmj/1029004832
OpenAlex ID: W2023388521
DOI: 10.1307/MMJ/1029004832
description: scientific article; zbMATH DE number 614383