Publication: Volume estimates for right-angled hyperbolic polyhedra
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Date
2020
Authors
Egorov, Andrey
Vesnin, Andrei
Journal Title
Journal ISSN
Volume Title
Publisher
EUT Edizioni Università di Trieste
Abstract
By Andreev theorem acute-angled polyhedra of finite volume in a hyperbolic space H<sup>3</sup> 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 Atkinson in 2009. In the present paper upper estimates for both classes are improved.
Description
Keywords
right-angled polyhedron, ideal polyhedron, hyperbolic volume
Citation
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), 2nd Issue", EUT Edizioni Università di Trieste, Trieste, 2020, pp. 565-576