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.

Авторы
Издательство
Springer New York LLC
Номер выпуска
4
Язык
Английский
Страницы
531-541
Статус
Опубликовано
Том
211
Год
2015
Организации
  • 1 Moscow State Regional Social-Humanitarian Institute, Kolomna, Russian Federation
  • 2 Peoples’ Friendship University, Moscow, Russian Federation
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