Arkiv för Matematik
- Ark. Mat.
- Volume 51, Number 1 (2013), 99-123.
Volume formula for a ℤ2-symmetric spherical tetrahedron through its edge lengths
The present paper considers volume formulæ, 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 of angle π in the middle points of a certain pair of its skew edges.
Supported by the Swiss National Science Foundation no. 200020-113199/1, RFBR no. 09-01-00255 and RFBR no. 10-01-00642.
Ark. Mat., Volume 51, Number 1 (2013), 99-123.
Received: 2 August 2010
Revised: 25 February 2011
First available in Project Euclid: 31 January 2017
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2011 © Institut Mittag-Leffler
Kolpakov, Alexander; Mednykh, Alexander; Pashkevich, Marina. Volume formula for a ℤ 2 -symmetric spherical tetrahedron through its edge lengths. Ark. Mat. 51 (2013), no. 1, 99--123. doi:10.1007/s11512-011-0148-2. https://projecteuclid.org/euclid.afm/1485907196