Quasigeodesics outside horoballs
type: Item
instance of: scholarly article
title: Quasigeodesics outside horoballs
zbMATH Open document ID: 0863.53029
DOI: 10.1007/BF00148220
author: Urs Lang
published in: Geometriae Dedicata
publication date: 1996-12-02T00:00:00Z
review text: Let \(X\) be a Hadamard manifold which is a rank one symmetric space and \(\Omega\) be the path metric space obtained from \(X\) by removing a collection of pairwise disjoint open horoballs from \(X\). By using certain properties of quasigeodesics in \(\Omega\) some results about lattices in \(X\) can be obtained. In this paper, for two such properties the author gives new proofs that simultaneously apply to the case where \(X\) is a Hadamard space with sectional curvature \(-a^2\leq K\leq -1\), \(1\leq a<2\). One of these properties is applied to show that every lattice in \(X\) is biautomatic.
reviewed by: Gheorghe Pitiş
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 20F65
zbMATH DE Number: 942750
zbMATH Keywords: quasigeodesic
zbMATH Keywords: horoball
zbMATH Keywords: core
zbMATH Keywords: automatic group
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00148220
OpenAlex ID: W2094863519
description: scientific article; zbMATH DE number 942750