Regular simplices and lower volume bounds for hyperbolic \(n\)-manifolds

DOI10.1007/BF00773406zbMath0874.52002MaRDI QIDQ1907147

Ruth Kellerhals

Publication date: 13 November 1997

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

sphere packingshyperbolic \(n\)-manifoldslower volume boundsregular simplex volume

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Integration on manifolds; measures on manifolds (58C35) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)

Related Items

Horoball packings to the totally asymptotic regular simplex in the hyperbolic \(n\)-space, Lower bounds for volumes and orthospectra of hyperbolic manifolds with geodesic boundary, Width of convex bodies in hyperbolic space, On the structure of hyperbolic manifolds, The inradius of a hyperbolic truncated \(n\)-simplex, Ideal Uniform Polyhedra in and Covolumes of Higher Dimensional Modular Groups, Horoball packings related to the 4-dimensional hyperbolic 24 cell honeycomb {3,4,3,4}

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