Volume formula for a $\mathbb{Z}_2$-symmetric spherical tetrahedron through its edge lengths

Details Volume formula for a $\mathbb{Z}_2$-symmetric spherical tetrahedron through its edge lengths Volume formula for a $\mathbb{Z}_2$-symmetric spherical tetrahedron through its edge lengths

2010-07-22

arxiv.org/abs/1007.3948v8

Mathematics

Metric Geometry

27 pages, 2 figures; enhanced and improved exposition, typos corrected; Arkiv foer Matematik, 2011

Scientific paper

10.1007/s11512-011-0148-2

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 $\pi$ in the middle points of a certain pair of
its skew edges.

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