On Minimal Covolume Hyperbolic Lattices

On Minimal Covolume Hyperbolic Lattices

We study lattices with a non-compact fundamental domain of small volume in hyperbolic space H n . First, we identify the arithmetic lattices in Isom + H n of minimal covolume for even n up to 18. Then, we discuss the related problem in higher odd dimensions and provide solutions...

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Bibliographic Details
Main Author: Ruth Kellerhals
Format: Article
Language:English
Published: MDPI AG 2017-08-01
Series:Mathematics
Subjects:
hyperbolic lattice
cusp
minimal volume
arithmetic group
Coxeter polyhedron
Online Access:https://www.mdpi.com/2227-7390/5/3/43

Internet

https://www.mdpi.com/2227-7390/5/3/43

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