Volume Estimates for Right-Angled Hyperbolic Polyhedra Научная публикация
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Rendiconti dell'Istituto di Matematica dell'Universita di Trieste
ISSN: 0049-4704 |
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| Вых. Данные | Год: 2020, Том: 52, Страницы: 565-576 Страниц : 12 DOI: 10.13137/2464-8728/30958 | ||||
| Ключевые слова | hyperbolic volume; ideal polyhedron; right-angled polyhedron | ||||
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Реферат:
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
Библиографическая ссылка:
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
Идентификаторы БД:
| Scopus: | 2-s2.0-85108694417 |
| OpenAlex: | W3190113394 |