The three smallest compact arithmetic hyperbolic 5–orbifolds

Emery, Vincent; Kellerhals, Ruth

doi:10.2140/agt.2013.13.817

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

The three smallest compact arithmetic hyperbolic $5$–orbifolds

Vincent Emery and Ruth Kellerhals

Algebraic & Geometric Topology 13 (2013) 817–829

DOI: 10.2140/agt.2013.13.817

Abstract

We determine the three hyperbolic $5$ –orbifolds of smallest volume among compact arithmetic orbifolds, and we identify their fundamental groups with hyperbolic Coxeter groups.

In memoriam Friedrich Hirzebruch

Keywords

hyperbolic orbifolds, hyperbolic volume, arithmetic groups, Coxeter groups

Mathematical Subject Classification 2010

Primary: 22E40

Secondary: 11R42, 20F55, 51M25

References

Publication

Received: 24 August 2012

Accepted: 1 November 2012

Published: 30 March 2013

Authors

Vincent Emery
Max Planck Institute for Mathematics Vivatsgasse 7 D-53111 Bonn Germany

Ruth Kellerhals
Department of Mathematics University of Fribourg Chemin du Musée 23 CH-1700 Fribourg Switzerland

Volume 13, issue 2 (2013)