Volume Estimates for Right-Angled Hyperbolic Polyhedra

Andrey Egorov; Andrei Vesnin

doi:10.13137/2464-8728/30958

Volume Estimates for Right-Angled Hyperbolic Polyhedra

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	565-576
Число страниц	12
Журнал	Rendiconti dell'Istituto di Matematica dell'Universita di Trieste
Том	52
DOI	https://doi.org/10.13137/2464-8728/30958
Состояние	Опубликовано - 2020

Предметные области OECD FOS+WOS

1.01 МАТЕМАТИКА

Доступ к документу

10.13137/2464-8728/30958

Другие файлы и ссылки

Ссылка на публикацию в Scopus

Цитировать

@article{169237a9b93d4a8181e4e779f0565924,

title = "Volume Estimates for Right-Angled Hyperbolic Polyhedra",

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 Atkin-son in 2009. In the present paper upper estimates for both classes are improved.",

keywords = "hyperbolic volume, ideal polyhedron, right-angled polyhedron",

author = "Andrey Egorov and Andrei Vesnin",

note = "Funding Information: The work was supported by the Theoretical Physics and Mathematics Advancement Foundation “BASIS”. Funding Information: The work was supported by the Theoretical Physics and Mathematics Advance-ment Foundation ?BASIS?. Publisher Copyright: {\textcopyright} 2020. All Rights Reserved. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",

year = "2020",

doi = "10.13137/2464-8728/30958",

language = "English",

volume = "52",

pages = "565--576",

journal = "Rendiconti dell'Istituto di Matematica dell'Universita di Trieste",

issn = "0049-4704",

publisher = "Istituto di matematica, Universita di Trieste",

}

Volume Estimates for Right-Angled Hyperbolic Polyhedra. / Egorov, Andrey ; Vesnin, Andrei.

В: Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, Том 52, 2020, стр. 565-576.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

TY - JOUR

T1 - Volume Estimates for Right-Angled Hyperbolic Polyhedra

AU - Egorov, Andrey

AU - Vesnin, Andrei

N1 - Funding Information: The work was supported by the Theoretical Physics and Mathematics Advancement Foundation “BASIS”. Funding Information: The work was supported by the Theoretical Physics and Mathematics Advance-ment Foundation ?BASIS?. Publisher Copyright: © 2020. All Rights Reserved. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - hyperbolic volume

KW - ideal polyhedron

KW - right-angled polyhedron

UR - http://www.scopus.com/inward/record.url?scp=85108694417&partnerID=8YFLogxK

U2 - 10.13137/2464-8728/30958

DO - 10.13137/2464-8728/30958

M3 - Article

AN - SCOPUS:85108694417

VL - 52

SP - 565

EP - 576

JO - Rendiconti dell'Istituto di Matematica dell'Universita di Trieste

JF - Rendiconti dell'Istituto di Matematica dell'Universita di Trieste

SN - 0049-4704

ER -

Volume Estimates for Right-Angled Hyperbolic Polyhedra

Аннотация

Предметные области OECD FOS+WOS

Доступ к документу

Другие файлы и ссылки

Fingerprint

Цитировать