On integral expressions for volumes of hyperbolic tetrahedra
Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 49 (2013), pp. 89-98
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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.
@article{CMFD_2013_49_a1,
author = {V. A. Krasnov},
title = {On integral expressions for volumes of hyperbolic tetrahedra},
journal = {Contemporary Mathematics. Fundamental Directions},
pages = {89--98},
publisher = {mathdoc},
volume = {49},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CMFD_2013_49_a1/}
}
V. A. Krasnov. On integral expressions for volumes of hyperbolic tetrahedra. Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 49 (2013), pp. 89-98. http://geodesic.mathdoc.fr/item/CMFD_2013_49_a1/