Abstract

By Andreev theorem acute-angled polyhedra of finite vo-lume in a hyperbolic space (Formula presented)3are uniquely determined by combinatorics of their 1-skeletons and dihedral angles. For a class of compact right-angled polyhedra and a class of ideal right-angled polyhedra estimates of volumes in terms of the number of vertices were obtained by Atkin-son in 2009. In the present paper upper estimates for both classes are improved.

Original languageEnglish
Pages (from-to)565-576
Number of pages12
JournalRendiconti dell'Istituto di Matematica dell'Universita di Trieste
Volume52
DOIs
Publication statusPublished - 2020

Keywords

  • hyperbolic volume
  • ideal polyhedron
  • right-angled polyhedron

OECD FOS+WOS

  • 1.01 MATHEMATICS

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