TY - JOUR

T1 - On volumes of hyperbolic right-angled polyhedra

AU - Alexandrov, Stepan Andreevich

AU - Bogachev, Nikolay Vladimirovich

AU - Vesnin, Andrei Yurievich

AU - Egorov, Andrei Aleksandrovich

N1 - The research of S. A. Alexandrov, N. V. Bogachev and A. A. Egorov was supported by the Theoretical Physics and Mathematics Advancement Foundation “BASIS”. The research of A. Yu. Vesnin was supported by the Ministry of Science and Higher Education of Russia under agreement no. 075-02-2022-884 and by the Theoretical Physics and Mathematics Advancement Foundation “BASIS”. AMS 2020 Mathematics Subject Classification. Primary 52B10, 57K32. Публикация для корректировки.

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85165630993&origin=inward&txGid=d0f3857061e2d1a47b109707dc2d4293

UR - https://www.mendeley.com/catalogue/09367775-bec7-3d86-9066-e9ade99cc475/

U2 - 10.4213/sm9740e

DO - 10.4213/sm9740e

M3 - Article

VL - 214

SP - 148

EP - 165

JO - Sbornik Mathematics

JF - Sbornik Mathematics

SN - 1064-5616

IS - 2

ER -