Simplices of maximal volume in hyperbolic n-space

DOI10.1007/BF02392865zbMath0493.51016MaRDI QIDQ1168591

Uffe Haagerup, Hans Jørgen Munkholm

Publication date: 1981

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

volumehyperbolic n-spacePoincare disk modelregular n-simplex

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Polyhedra and polytopes; regular figures, division of spaces (51M20) Length, area and volume in real or complex geometry (51M25)

Related Items

The Gromov norm of the Kähler class of symmetric domains, On the volume growth of the hyperbolic regular \(n\)-simplex, The characteristic toric splitting of irreducible compact 3-orbifolds, Volumes in hyperbolic 5-space, Random rigidity in the free group., Integrable measure equivalence and rigidity of hyperbolic lattices, Equivariant hyperbolization of 3-manifolds via homology cobordisms, On the total volume of the double hyperbolic space, Scissors congruence, the golden ratio and volumes in hyperbolic 5-space, Infinitely many arithmetic alternating links, A lower bound for the simplexity of the \(n\)-cube via hyperbolic volumes, A Dual Interpretation of the Gromov–Thurston Proof of Mostow Rigidity and Volume Rigidity for Representations of Hyperbolic Lattices, Volume formulae for regular hyperbolic cubes, A quantitative version of a theorem by Jungreis, What is known about unit cubes, The simplicial volume of hyperbolic manifolds with geodesic boundary, Systole and inradius of noncompact hyperbolic manifolds, Some remarks on the simplicial volume of nonpositively curved manifolds, Hyperbolic geometry: The first 150 years, Volume conjecture and WKB asymptotics, Characteristic classes and representations of discrete subgroups of Lie groups

Cites Work

• On the concept of attractor
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)