Hyperbolic orbifolds of minimal volume
- Kellerhals, Ruth Department of Mathematics, University of Fribourg, Switzerland
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18.06.2014
Published in:
- Computational Methods and Function Theory. - 2014, p. 1–17
English
We provide a survey of hyperbolic orbifolds of minimal volume, starting with the results of Siegel in two dimensions and with the contributions of Gehring, Martin and others in three dimensions. For higher dimensions, we summarise some of the most important results, due to Belolipetsky, Emery and Hild, by discussing related features such as hyperbolic Coxeter groups, arithmeticity and consequences of Prasad’s volume, as well as canonical cusps, crystallography and packing densities. We also present some new results about volume minimisers in dimensions six and eight related to Bugaenko’s cocompact arithmetic Coxeter groups.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 211439
- DOI 10.1007/s40315-014-0074-y
- Persistent URL
- https://folia.unifr.ch/unifr/documents/303775
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