Volume formula for a $\mathbb{Z}_2$-symmetric spherical tetrahedron through its edge lengths
Metric Geometry
2011-08-02 v8 Complex Variables
Differential Geometry
Abstract
The present paper considers volume formulae, as well as trigonometric identities, that hold for a tetrahedron in 3-dimensional spherical space of constant sectional curvature +1. The tetrahedron possesses a certain symmetry: namely rotation through angle in the middle points of a certain pair of its skew edges.
Cite
@article{arxiv.1007.3948,
title = {Volume formula for a $\mathbb{Z}_2$-symmetric spherical tetrahedron through its edge lengths},
author = {Alexander Kolpakov and Alexander Mednykh and Marina Pashkevich},
journal= {arXiv preprint arXiv:1007.3948},
year = {2011}
}
Comments
27 pages, 2 figures; enhanced and improved exposition, typos corrected; Arkiv foer Matematik, 2011