Volume 13, issue 2 (2013)

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The three smallest compact arithmetic hyperbolic $5$–orbifolds

Vincent Emery and Ruth Kellerhals

Algebraic & Geometric Topology 13 (2013) 817–829
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