On Schläfli's reduction formula

DOI10.1007/BF02571335zbMath0717.52011MaRDI QIDQ2638532

Ruth Kellerhals

Publication date: 1991

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174217

zbMATH Keywords

volumehyperbolic geometrysimplicesorthoschemesreduction formulahyperbolic polytopes

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Polyhedra and polytopes; regular figures, division of spaces (51M20) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Reflection groups, reflection geometries (51F15)

Related Items (13)

On hyperbolic Coxeter n-polytopes with n + 2 facets ⋮ The volume of hyperbolic Coxeter polytopes of even dimension ⋮ Regular simplices and lower volume bounds for hyperbolic \(n\)-manifolds ⋮ Small‐volume hyperbolic manifolds constructed from Coxeter groups ⋮ Schläfli numbers and reduction formula ⋮ Packing Coxeter honeycombs with sequences of spheres ⋮ On the growth of cocompact hyperbolic Coxeter groups. ⋮ The size of hyperbolic Coxeter simplex ⋮ All-mass \(n\)-gon integrals in \(n\) dimensions ⋮ Hyperbolic orbifolds of minimal volume ⋮ Spherical and geodesic growth rates of right-angled Coxeter and Artin groups are Perron numbers ⋮ The covolume of discrete subgroups of \(\mathrm{Iso}(\mathbb H^{2m})\) ⋮ Ideal Uniform Polyhedra in and Covolumes of Higher Dimensional Modular Groups

Cites Work

• Unnamed Item
• A class of hyperbolic Coxeter groups
• On the volume of hyperbolic polyhedra
• Discrete groups generated by reflections
• Intersection of plane boundaries of a polytope with acute angles
• Hyperbolic reflection groups
• ON CONVEX POLYHEDRA IN LOBAČEVSKIĬ SPACES

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