On volumes of hyperbolic right-angled polyhedra

IF 0.8 4区数学 Q2 MATHEMATICS

Sbornik Mathematics Pub Date : 2021-11-16 DOI:10.4213/sm9740e

Stepan Alexandrov, N. Bogachev, A. Egorov, A. Vesnin

引用次数: 1

Abstract

New upper bounds for the volumes of right-angled polyhedra in hyperbolic space $\mathbb{H}^3$ 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. Bibliography: 23 titles.

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关于双曲直角多面体的体积

在以下三种情况下，得到了双曲空间中直角多面体体积的新上界$\mathbb{H}^3$:对于所有顶点都在理想双曲边界上的理想多面体;对于顶点有限的紧致多面体;对于有两种顶点的有限体积多面体。参考书目:23篇。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Sbornik Mathematics 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The journal has always maintained the highest scientific level in a wide area of mathematics with special attention to current developments in: Mathematical analysis Ordinary differential equations Partial differential equations Mathematical physics Geometry Algebra Functional analysis