The three smallest compact arithmetic hyperbolic $5$–orbifolds

Vincent Emery; Ruth Kellerhals

doi:10.2140/agt.2013.13.817

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Home > Journals > Algebr. Geom. Topol. > Volume 13 > Issue 2 > Article

2013 The three smallest compact arithmetic hyperbolic $5$–orbifolds

Vincent Emery, Ruth Kellerhals

Algebr. Geom. Topol. 13(2): 817-829 (2013). DOI: 10.2140/agt.2013.13.817

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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.

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Vincent Emery. Ruth Kellerhals. "The three smallest compact arithmetic hyperbolic $5$–orbifolds." Algebr. Geom. Topol. 13 (2) 817 - 829, 2013. https://doi.org/10.2140/agt.2013.13.817

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Received: 24 August 2012; Accepted: 1 November 2012; Published: 2013

First available in Project Euclid: 19 December 2017

zbMATH: 1266.22014

MathSciNet: MR3044594

Digital Object Identifier: 10.2140/agt.2013.13.817

Subjects:

Primary: 22E40

Secondary: 11R42 , 20F55 , 51M25

Keywords: arithmetic groups , Coxeter groups , Hyperbolic orbifolds , hyperbolic volume

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Vincent Emery, Ruth Kellerhals "The three smallest compact arithmetic hyperbolic $5$–orbifolds," Algebraic & Geometric Topology, Algebr. Geom. Topol. 13(2), 817-829, (2013)

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