On integral expressions for volumes of hyperbolic tetrahedra

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. © 2015 Springer Science+Business Media New York.

Authors
Publisher
Springer New York LLC
Number of issue
4
Language
English
Pages
531-541
Status
Published
Volume
211
Year
2015
Organizations
  • 1 Moscow State Regional Social-Humanitarian Institute, Kolomna, Russian Federation
  • 2 Peoples’ Friendship University, Moscow, Russian Federation
Share

Other records