Limit volumes of hyperbolic three-orbifolds
type: Item
instance of: scholarly article
title: Limit volumes of hyperbolic three-orbifolds
zbMATH Open document ID: 0697.57007
author: Colin Adams
published in: Journal of Differential Geometry
publication date: 1991-01-01T00:00:00Z
review text: We prove that the smallest three limit volumes for hyperbolic 3-orbifolds are 0.3053218..., 0.4444514... and 0.4579827.... The corresponding unique orbifolds are given. We also show that an n-fold limit point of volumes of hyperbolic 3-orbifolds is bounded below by (n-1/2)(v/2) where \(v=1.01494..\). is the volume of an ideal regular tetrahedron in hyperbolic 3-space. Applications to the order of the isometry groups of hyperbolic 3-manifolds are also given.
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 57R30
Mathematics Subject Classification ID: 51M10
zbMATH DE Number: 4143050
zbMATH Keywords: smallest three limit volumes for hyperbolic 3-orbifolds
zbMATH Keywords: isometry groups of hyperbolic 3-manifolds
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214446993
OpenAlex ID: W1490351642
Wikidata QID: Q115181571
DOI: 10.4310/JDG/1214446993
description: scientific article; zbMATH DE number 4143050