On volumes of hyperbolic right-angled polyhedra-Reference-Cited by-同舟云学术

On volumes of hyperbolic right-angled polyhedra

Published:2023 Issue:2 Volume:214 Page:148-165
ISSN:1064-5616
Container-title:Sbornik: Mathematics
language:en
Short-container-title:Sb. Math.

Author:

Alexandrov Stepan Andreevich¹,Bogachev Nikolay Vladimirovich¹²,Vesnin Andrei Yurievich³⁴⁵,Egorov Andrei Aleksandrovich³

Affiliation:

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

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.

Funder

Foundation for the Development of Theoretical Physics and Mathematics BASIS

Ministry of Science and Higher Education of the Russian Federation

Publisher

Steklov Mathematical Institute

Subject

Algebra and Number Theory

Reference31 articles.

1. On convex polyhedra in Lobac̆evskiĭ spaces;E. M. Andreev;Mat. Sb. (N.S.),1970

2. ON CONVEX POLYHEDRA IN LOBAČEVSKIĬ SPACES

3. On convex polyhedra of finite volume in Lobac̆evskiĭ space;E. M. Andreev;Mat. Sb. (N.S.),1970

4. ON CONVEX POLYHEDRA OF FINITE VOLUME IN LOBAČEVSKIĬ SPACE

5. Volume estimates for equiangular hyperbolic Coxeter polyhedra

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