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The volume of a trirectangular hyperbolic tetrahedron. / Abrosimov, N. V.; Stepanishchev, S. V.

In: Siberian Electronic Mathematical Reports, Vol. 20, No. 1, 2023, p. 275-284.

Research output: Contribution to journal › Article › peer-review

Harvard

Abrosimov, NV & Stepanishchev, SV 2023, 'The volume of a trirectangular hyperbolic tetrahedron', Siberian Electronic Mathematical Reports, vol. 20, no. 1, pp. 275-284. https://doi.org/10.33048/semi.2023.20.022

APA

Abrosimov, N. V., & Stepanishchev, S. V. (2023). The volume of a trirectangular hyperbolic tetrahedron. Siberian Electronic Mathematical Reports, 20(1), 275-284. https://doi.org/10.33048/semi.2023.20.022

Vancouver

Abrosimov NV, Stepanishchev SV. The volume of a trirectangular hyperbolic tetrahedron. Siberian Electronic Mathematical Reports. 2023;20(1):275-284. doi: 10.33048/semi.2023.20.022

Author

Abrosimov, N. V. ; Stepanishchev, S. V. / The volume of a trirectangular hyperbolic tetrahedron. In: Siberian Electronic Mathematical Reports. 2023 ; Vol. 20, No. 1. pp. 275-284.

BibTeX

@article{046058528c2f48f49eb30bc77b5658e7,
title = "The volume of a trirectangular hyperbolic tetrahedron",
abstract = "We consider a three-parameter family of tetrahedra in the hyperbolic space, which three edges at one vertex are pairwise orthogonal. It is convenient to determine such tetrahedra by the lengths of these edges. We obtain relatively simple formulas for them expressing the volume and the surface area. This allows us to find normalized volume and investigate its asymptotics",
keywords = "Poincar{\'e} upper halfspace model, hyperbolic tetrahedron, hyperbolic volume, infinite cone, normalized volume, trirectangular tetrahedron",
author = "Abrosimov, {N. V.} and Stepanishchev, {S. V.}",
note = "This work was supported by the Ministry of Science and Higher Education of Russia (agreement No. 075-02-2023-943).",
year = "2023",
doi = "10.33048/semi.2023.20.022",
language = "English",
volume = "20",
pages = "275--284",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",
number = "1",

}

RIS

TY - JOUR

T1 - The volume of a trirectangular hyperbolic tetrahedron

AU - Abrosimov, N. V.

AU - Stepanishchev, S. V.

N1 - This work was supported by the Ministry of Science and Higher Education of Russia (agreement No. 075-02-2023-943).

PY - 2023

Y1 - 2023

N2 - We consider a three-parameter family of tetrahedra in the hyperbolic space, which three edges at one vertex are pairwise orthogonal. It is convenient to determine such tetrahedra by the lengths of these edges. We obtain relatively simple formulas for them expressing the volume and the surface area. This allows us to find normalized volume and investigate its asymptotics

AB - We consider a three-parameter family of tetrahedra in the hyperbolic space, which three edges at one vertex are pairwise orthogonal. It is convenient to determine such tetrahedra by the lengths of these edges. We obtain relatively simple formulas for them expressing the volume and the surface area. This allows us to find normalized volume and investigate its asymptotics

KW - Poincaré upper halfspace model

KW - hyperbolic tetrahedron

KW - hyperbolic volume

KW - infinite cone

KW - normalized volume

KW - trirectangular tetrahedron

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85150798407&origin=inward&txGid=b1cb584a2226ae8f7ccae77dcca80550

UR - https://www.mendeley.com/catalogue/2b2e36a3-2257-309d-b911-d91f97807543/

U2 - 10.33048/semi.2023.20.022

DO - 10.33048/semi.2023.20.022

M3 - Article

VL - 20

SP - 275

EP - 284

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

IS - 1

ER -

ID: 56403110