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Volume estimates for right-angled hyperbolic polyhedra
Egorov, Andrey
Vesnin, Andrei
2020
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e-ISSN
2464-8728
Abstract
By Andreev theorem acute-angled polyhedra of finite vo-
lume in a hyperbolic space H3 are 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.
lume in a hyperbolic space H3 are 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.
Publisher
EUT Edizioni Università di Trieste
Source
Andrey Egorov and Andrei Vesnin, "Volume estimates for right-angled hyperbolic polyhedra" in: "Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics vol. 52 (2020)", EUT Edizioni Università di Trieste, Trieste, 2020
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale