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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 1150–1158
DOI: https://doi.org/10.17377/semi.2016.13.090 (Mi semr740) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Geometry and topology

Volumes of hyperbolic hexahedra with $\overline{3}$-symmetry

N. V. Abrosimovab, E. S. Kudinac, A. D. Mednykhab

a Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
b Novosibirsk State University, Pirogova str., 2, 630090, Novosibirsk, Russia
c Gorno-Altaisk State University, Socialisticheskaya str., 34, 649000, Gorno-Altaisk, Russia
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DOI: https://doi.org/10.17377/semi.2016.13.090
Abstract: We consider hyperbolic hexahedra with $\overline{3}$-symmetry. For these hexahedra, we find existence conditions, establish relations between the edge lengths and dihedral angles, and obtain exact formulas for the volumes.
Keywords: hyperbolic hexahedron, $\overline{3}$-symmetry, hyperbolic volume.
Funding agency Grant number
Russian Science Foundation 16-41-02006
Received December 4, 2016, published December 8, 2016
Bibliographic databases:
Document Type: Article
UDC: 514.132
MSC: 52B15, 51M20, 51M25, 51M10
Language: Russian
Citation: N. V. Abrosimov, E. S. Kudina, A. D. Mednykh, “Volumes of hyperbolic hexahedra with $\overline{3}$-symmetry”, Sib. Èlektron. Mat. Izv., 13 (2016), 1150–1158
Citation in format AMSBIB
\Bibitem{AbrKudMed16}
\by N.~V.~Abrosimov, E.~S.~Kudina, A.~D.~Mednykh
\paper Volumes of hyperbolic hexahedra with $\overline{3}$-symmetry
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 1150--1158
\mathnet{http://mi.mathnet.ru/semr740}
\crossref{https://doi.org/10.17377/semi.2016.13.090}
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    • This publication is cited in the following 2 articles:
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