Email this article On volumes of hyperbolic right-angled polyhedra
- Authors: Alexandrov S.A.1, Bogachev N.V.2,1, Vesnin A.Y.3,4,5, Egorov A.A.4
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Affiliations:
- Moscow Institute of Physics and Technology (National Research University)
- Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute)
- Tomsk State University
- Novosibirsk State University
- Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
- Issue: Vol 214, No 2 (2023)
- Pages: 3-22
- Section: Articles
- URL: https://journal-vniispk.ru/0368-8666/article/view/133500
- DOI: https://doi.org/10.4213/sm9740
- ID: 133500
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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.
About the authors
Stepan Andreevich Alexandrov
Moscow Institute of Physics and Technology (National Research University)without scientific degree, no status
Nikolay Vladimirovich Bogachev
Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute); Moscow Institute of Physics and Technology (National Research University)without scientific degree, no status
Andrei Yurievich Vesnin
Tomsk State University; Novosibirsk State University; Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Email: vesnin@math.nsc.ru
Doctor of physico-mathematical sciences, Senior Researcher
Andrei Aleksandrovich Egorov
Novosibirsk State University
Email: a.egorov2@g.nsu.ru
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