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JOURNALS // Contemporary Mathematics. Fundamental Directions // Archive

CMFD, 2013 Volume 49, Pages 89–98 (Mi cmfd247)

This article is cited 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.

UDC: 514.13+514.132


 English version:
Journal of Mathematical Sciences, 2015, 211:4, 531–541

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