The right-angled Coxeter group of minimal covolume in three-dimensional hyperbolic space

The right-angled Coxeter group of minimal covolume in three-dimensional hyperbolic space Full article

Journal

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Output data

Year: 2025, Volume: 66, Number: 6, Pages: 1374-1389 Pages count : 16 DOI: 10.1134/S0037446625060047

Funding (2)

1	Sobolev Institute of Mathematics	FWNF-2022-0017
2	Sobolev Institute of Mathematics	FWNF-2022-0004

It is proved that among all right-angled Coxeter groups in three-dimensional hyperbolic space, the group generated by reflections in the faces of a right-angled triangular bipyramid has the smallest covolume. This bipyramid has three ideal and two finite vertices. The group is arithmetic, and its covolume is equal to Catalan’s constant G=0.915965….

Vesnin A.Y. , Egorov A.A.
The right-angled Coxeter group of minimal covolume in three-dimensional hyperbolic space
Siberian Mathematical Journal. 2025. V.66. N6. P.1374-1389. DOI: 10.1134/S0037446625060047 WOS Scopus РИНЦ OpenAlex

Веснин А.Ю. , Егоров А.А.
Прямоугольная группа Коксетера минимального кообъема в трехмерном гиперболическом пространстве
Сибирский математический журнал. 2025. Т.66. №6. С.1037-1056. DOI: 10.33048/smzh.2025.66.604 РИНЦ

Submitted:	Aug 4, 2025
Accepted:	Sep 11, 2025
Published online:	Nov 24, 2025

Web of science:	WOS:001622319900006
Scopus:	2-s2.0-105022710609
Elibrary:	84013570
OpenAlex:	W7106509491

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