Volume Estimates for Right-Angled Hyperbolic Polyhedra Full article
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Rendiconti dell'Istituto di Matematica dell'Universita di Trieste
ISSN: 0049-4704 |
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| Output data | Year: 2020, Volume: 52, Pages: 565-576 Pages count : 12 DOI: 10.13137/2464-8728/30958 | ||||
| Tags | hyperbolic volume; ideal polyhedron; right-angled polyhedron | ||||
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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 Atkinson in 2009. In the present paper upper estimates for both classes are improved
Cite:
Egorov A.
, Vesnin A.
Volume Estimates for Right-Angled Hyperbolic Polyhedra
Rendiconti dell'Istituto di Matematica dell'Universita di Trieste. 2020. V.52. P.565-576. DOI: 10.13137/2464-8728/30958 Scopus OpenAlex
Volume Estimates for Right-Angled Hyperbolic Polyhedra
Rendiconti dell'Istituto di Matematica dell'Universita di Trieste. 2020. V.52. P.565-576. DOI: 10.13137/2464-8728/30958 Scopus OpenAlex
Identifiers:
| Scopus: | 2-s2.0-85108694417 |
| OpenAlex: | W3190113394 |