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.
|Number of pages||12|
|Journal||Rendiconti dell'Istituto di Matematica dell'Universita di Trieste|
|Publication status||Published - 2020|
- hyperbolic volume
- ideal polyhedron
- right-angled polyhedron
- 1.01 MATHEMATICS