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Contemporary Mathematics. Fundamental Directions, 2013, Volume 49, Pages 89–98
(Mi cmfd247)
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This article is cited in 2 scientific papers (total in 2 papers)
On integral expressions for volumes of hyperbolic tetrahedra
V. A. Krasnovab a Moscow State Regional Social-Humanitarian Institute, Kolomna, Russia
b Peoples' Friendship University, Moscow, Russia
Abstract:
In this paper, we derive the Derevnin–Mednykh integral expression for the volume of a hyperbolic tetrahedron in terms of dihedral angles from the Murakami–Yano expression. As a consequence, we derive an expression for the volume of a hyperbolic tetrahedron in terms of edge lengths.
Citation:
V. A. Krasnov, “On integral expressions for volumes of hyperbolic tetrahedra”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 49, PFUR, M., 2013, 89–98; Journal of Mathematical Sciences, 211:4 (2015), 531–541
Linking options:
https://www.mathnet.ru/eng/cmfd247 https://www.mathnet.ru/eng/cmfd/v49/p89
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Abstract page: | 370 | Full-text PDF : | 121 | References: | 36 |
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