On volumes of hyperbolic right-angled polyhedra

On volumes of hyperbolic right-angled polyhedra Full article

Journal

Sbornik Mathematics
ISSN: 1064-5616 , E-ISSN: 1468-4802

Output data

Year: 2023, Volume: 214, Number: 2, Pages: 148-165 Pages count : 18 DOI: 10.4213/sm9740e

Tags

right-angled polyhedra, hyperbolic space, hyperbolic knots and links

Authors

Alexandrov Stepan ¹ , Bogachev Nikolay ^1,2 , Vesnin Andrei ^3,4,5 , Egorov A.A. ³

Affiliations

1	Moscow Institute of Physics and Technology, Dolgoprudny, Moscow region, Russia
2	Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russia
3	Novosibirsk State University, Novosibirsk, Russia
4	Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
5	Tomsk State University, Tomsk, Russia

Funding (1)

Министерство науки и высшего образования РФ

075-02-2022-884

New upper bounds for the volumes of right-angled polyhedra in hyperbolic space H3 are obtained in the following three cases: for ideal polyhedra with all vertices on the ideal hyperbolic boundary; for compact polyhedra with only finite vertices; and for finite-volume polyhedra with vertices of both types.

Alexandrov S. , Bogachev N. , Vesnin A. , Egorov A.A.
On volumes of hyperbolic right-angled polyhedra
Sbornik Mathematics. 2023. V.214. N2. P.148-165. DOI: 10.4213/sm9740e WOS Scopus РИНЦ OpenAlex

Александров С.А. , Богачев Н.В. , Веснин А.Ю. , Егоров А.А.
Об объемах гиперболических прямоугольных многогранников
Математический сборник. 2023. Т.214. №2. С.3-22. DOI: 10.4213/sm9740 РИНЦ OpenAlex

Submitted:	Feb 26, 2022
Published print:	Feb 14, 2023
Published online:	Feb 14, 2023

Web of science:	WOS:001057011000001
Scopus:	2-s2.0-85165630993
Elibrary:	62701330
OpenAlex:	W3213728575

DB	Citing
OpenAlex	1
Web of science	1
Scopus	1