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
收藏
页码：148 / 165
页数：18
相关论文
共 50 条
12345