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...

Full description

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

Similar Items

FCC, BCC and SC Lattices Derived from the Coxeter-Weyl groups and quaternions
by: Nazife Özdeş Koca, et al.
Published: (2014-06-01)

Symmetry of the Pyritohedron and Lattices
by: Nazife O. Koca, et al.
Published: (2016-12-01)

Density of systoles of hyperbolic manifolds
by: Douba, Sami, et al.
Published: (2024-11-01)

The Coxeter group Dn
by: M. A. Albar, et al.
Published: (2000-01-01)

Closed Locally Minimal Networks on the Surfaces of Convex Polyhedra
by: N. P. Strelkova
Published: (2013-10-01)

Hardware implementation of hyperbolic tangent and sigmoid activation functions
by: Z. Hajduk
Published: (2018-10-01)

The coxeter legacy : reflections and projections /
by: Coxeter, H. S. M. (Harold Scott Macdonald), 1907-2003, et al.
Published: (2006)

q-Enumeration of type B and type D Eulerian polynomials based on parity of descents
by: Hiranya Kishore Dey, et al.
Published: (2023-07-01)

FORM CREATIVITY STRATEGIES IN DISCRETE STRUCTURE MODELING IN DESIGN
by: Korotich Andrey V.
Published: (2021-12-01)

Lp-Regularity of solutions to first initial-boundary value problem for hyperbolic equations in cusp domains
by: Vu Trong Luong, et al.
Published: (2009-11-01)

On the One Class of Hyperbolic Systems
by: Vsevolod E. Adler, et al.
Published: (2006-12-01)

Présentation fischérienne de certaines extensions non scindées de groupes orthogonaux sur F3
by: M-M. Virotte Ducharme
Published: (1997-01-01)

Some remarks on the algebraic structure of the finite Coxeter group F4
by: Muhammad A. Albar, et al.
Published: (1999-01-01)

On the Affine Weyl group of type A˜n−1
by: Muhammad A. Albar
Published: (1987-01-01)

Congruent and non-congruent hyperball packings related to doubly truncated Coxeter orthoschemes in hyperbolic 3-space
by: Szirmai Jenő
Published: (2019-12-01)

COMPUTER-ASSISTED DETERMINATION OF THE DEVELOPMENTS OF POLYHEDRA AND INTERSECTION POLYGONS DETERMINED BY THE INTERSECTION OF TWO OR MORE POLYHEDRA
by: Andrei SLONOVSCHI, et al.
Published: (2022-11-01)

Implementation of Hyperbolic Sine and Cosine Functions Based on FPGA using different Approaches
by: Rawasee yousif, et al.
Published: (2023-08-01)

Finding the Largest Volume Parallelepipedon of Arbitrary Orientation in a Solid
by: Ruben Molano, et al.
Published: (2021-01-01)

The minimal length case of the Klein Gordon equation with hyperbolic cotangent potential using Nikivorof-Uvarof Method
by: Isnaini Lilis Elviyanti, et al.
Published: (2020-03-01)

Fully commutative elements and lattice walks
by: Riccardo Biagioli, et al.
Published: (2013-01-01)

On skewed, leptokurtic returns and pentanomial lattice option valuation via minimal entropy martingale measure
by: Ivivi J. Mwaniki
Published: (2017-01-01)

Subword Complexes and Nil-Hecke Moves
by: M. A. Gorsky
Published: (2013-12-01)

Spectra of graphs and the spectral criterion for property (T)
by: Alain Valette
Published: (2017-04-01)

Polyhedral Gauss sums, and polytopes with symmetry
by: Malikiosis, Romanos-Diogenes, et al.
Published: (2016)

Performance of basic arithmetic actions with complex numbers, which are presented in interval hyperbolic form
by: Svitlana Gadetska, et al.
Published: (2022-04-01)

α-Minimal Resolution Principle For A Lattice-Valued Logic
by: Hairui Jia, et al.
Published: (2015-01-01)

On a subgroup of the affine Weyl group C˜4
by: Muhammad A. Albar
Published: (2000-01-01)

On a four-generator Coxeter group
by: Muhammad A. Albar
Published: (2000-01-01)

Higher Braid Groups and Regular Semigroups from Polyadic-Binary Correspondence
by: Steven Duplij
Published: (2021-04-01)

On non-conjugate Coxeter elements in well-generated reflection groups
by: Victor Reiner, et al.
Published: (2015-01-01)

Complex hyperbolic triangle groups with 2-fold symmetry
by: Джон Р. Паркер, et al.
Published: (2017-08-01)

On Maximal Homogeneous 3-Geometries—A Polyhedron Algorithm for Space Tilings
by: István Prok
Published: (2018-03-01)

Hyperbolic Fibonacci Sequence
by: Fügen Torunbalcı Aydın
Published: (2019-06-01)

Teaching and Learning Hyperbolic Functions (I); Definitions and Fundamental Properties
by: Teodor Dumitru Vălcan
Published: (2016-07-01)

Reconfigurable logical stochastic resonance in a hyperbolic one-site lattice with variable-barrier potential
by: Zhiqiang Liao, et al.
Published: (2023-06-01)

Nonexistence results for a pseudo-hyperbolic equation in the Heisenberg group
by: Mokhtar Kirane, et al.
Published: (2015-04-01)

Unique solvability of initial boundary-value problems for hyperbolic systems in cylinders whose base is a cusp domain
by: Vu Trong Luong, et al.
Published: (2008-10-01)

Double labial talon cusp on permanent incisior—An unusual occurrence
by: Peterlouis Arulraj, et al.
Published: (2023-01-01)

Recent results on hyperbolicity on unitary operators on graphs
by: Jesús A. Méndez, et al.
Published: (2023-03-01)

An algorithm for an 𝓁2-homological test for the planarity of a graph
by: Elizabeth Donovan, et al.
Published: (2020-09-01)