On volumes of hyperbolic right-angled polyhedra

被引：1

作者：

Alexandrov, S. A. ^{[1
]}

Bogachev, N. V. ^{[1
,2
]}

Vesnin, A. Yu. ^{[3
,4
,5
]}

Egorov, A. A. ^{[4
]}

机构：

[1] Moscow Inst Phys & Technol, Dolgoprudnyi, Moscow, Russia

[2] Russian Acad Sci, Kharkevich Inst, Inst Informat Transmission Problems, Moscow, Russia

[3] Tomsk State Univ, Tomsk, Russia

[4] Novosibirsk State Univ, Novosibirsk, Russia

[5] Russian Acad Sci, Siberian Branch, Sobolev Inst Math, Novosibirsk, Russia

来源：

SBORNIK MATHEMATICS | 2023年 / 214卷 / 02期

关键词：

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

D O I：

10.4213/sm9740e

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：148 / 165

页数：18

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