The volume of a trirectangular hyperbolic tetrahedron Full article
| Journal |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2023, Volume: 20, Number: 1, Pages: 275-284 Pages count : 10 DOI: 10.33048/semi.2023.20.022 | ||||||
| Tags | hyperbolic volume, normalized volume, Poincar e upper halfspace model, hyperbolic tetrahedron, trirectangular tetrahedron, infnite cone. | ||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования РФ | 075-02-2024-1437 |
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 nd normalized volume and investigate its asymptotics
Cite:
Abrosimov N.V.
, Stepanishchev S.V.
The volume of a trirectangular hyperbolic tetrahedron
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2023. V.20. N1. P.275-284. DOI: 10.33048/semi.2023.20.022 WOS Scopus РИНЦ
The volume of a trirectangular hyperbolic tetrahedron
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2023. V.20. N1. P.275-284. DOI: 10.33048/semi.2023.20.022 WOS Scopus РИНЦ
Dates:
| Submitted: | Dec 17, 2022 |
| Published print: | Mar 13, 2023 |
| Published online: | Mar 13, 2023 |
Identifiers:
| Web of science: | WOS:000959070400016 |
| Scopus: | 2-s2.0-85150798407 |
| Elibrary: | 54768294 |
Citing:
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