Volume 9, issue 2 (2009)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 24
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 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
Volume estimates for equiangular hyperbolic Coxeter polyhedra

Christopher K Atkinson

Algebraic & Geometric Topology 9 (2009) 1225–1254
Abstract

An equiangular hyperbolic Coxeter polyhedron is a hyperbolic polyhedron where all dihedral angles are equal to πn for some fixed n , n 2. It is a consequence of Andreev’s theorem that either n = 3 and the polyhedron has all ideal vertices or that n = 2. Volume estimates are given for all equiangular hyperbolic Coxeter polyhedra.

Keywords
hyperbolic geometry, Coxeter polyhedra, $3$-orbifolds
Mathematical Subject Classification 2000
Primary: 57M50
Secondary: 30F40
References
Publication
Received: 26 June 2008
Revised: 6 May 2009
Accepted: 11 May 2009
Published: 13 June 2009
Authors
Christopher K Atkinson
Department of Mathematics, Statistics and Computer Science
University of Illinois at Chicago
851 S Morgan St
Chicago, IL 60607
http://www.math.uic.edu/~atkinson