Volume formulas for a spherical tetrahedron

DOI10.1090/S0002-9939-2012-11182-7zbMath1277.51021arXiv1011.2584MaRDI QIDQ2845755

Jun Murakami

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2584

zbMATH Keywords

spherical spaceGram matrixdihedral anglespace of constant curvaturespherical tetrahedronvolume of a spherical tetrahedron

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Integration of real functions of several variables: length, area, volume (26B15) Length, area and volume in real or complex geometry (51M25)

Related Items (10)

Non-Euclidean octahedra with mm2-symmetry ⋮ Volume of a doubly truncated hyperbolic tetrahedron ⋮ On combinatorial Gauss-Bonnet theorem for general Euclidean simplicial complexes ⋮ On the volume formula for hyperbolic 4-dimensional simplex ⋮ Baxter permuton and Liouville quantum gravity ⋮ Volumes of convex polyhedra in hyperbolic spaces ⋮ The Geometric Spectrum of a Graph and Associated Curvatures ⋮ All-mass \(n\)-gon integrals in \(n\) dimensions ⋮ On the volume formula for a hyperbolic octahedron with mm2-symmetry ⋮ On application of contemporary proof of the Sforza formula to computation of volumes of hyperbolic tetrahedra of special kind

Cites Work

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• A volume formula for hyperbolic tetrahedra in terms of edge lengths
• On the volume of a hyberbolic and spherical tetrahedron
• On the volume formula for hyperbolic tetrahedra
• Volume formula for a \(\mathbb Z_2\)-symmetric spherical tetrahedron through its edge lengths

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