On integral expressions for volumes of hyperbolic tetrahedra

DOI10.1007/s10958-015-2616-xzbMath1332.52005OpenAlexW2296243042MaRDI QIDQ906260

V. A. Krasnov

Publication date: 21 January 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2616-x

zbMATH Keywords

volumehyperbolic tetrahedrondihedral anglesDerevnin-Mednykh integral expressionedge lengthsMurakami-Yano expression

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Length, area, volume and convex sets (aspects of convex geometry) (52A38)

Cites Work

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• The volume of the Lambert cube in spherical space
• A volume formula for hyperbolic tetrahedra in terms of edge lengths
• On the volume of a hyberbolic and spherical tetrahedron
• On the volume of hyperbolic polyhedra
• On the volume formula for hyperbolic tetrahedra
• On hyperbolic polyhedra arising as convex cores of quasi-Fuchsian punctured torus groups
• A formula for the volume of a hyperbolic tetrahedon
• Hyperbolic geometry: The first 150 years

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