Explicit volume formula for a hyperbolic tetrahedron in terms of edge lengths

DOI10.1142/S0218216521400071zbMath1482.52016arXiv2107.03004OpenAlexW3181136734WikidataQ115523469 ScholiaQ115523469MaRDI QIDQ5028914

Bao Vuong, Nikolaĭ Vladimirovich Abrosimov

Publication date: 11 February 2022

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.03004

zbMATH Keywords

hyperbolic volumehyperbolic tetrahedronedge matrixSforza's formula

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Three-dimensional polytopes (52B10) Polyhedra and polytopes; regular figures, division of spaces (51M20) Length, area and volume in real or complex geometry (51M25)

Related Items (1)

Synthetic geometry in hyperbolic simplices

Cites Work

• Unnamed Item
• Unnamed Item
• A volume formula for hyperbolic tetrahedra in terms of edge lengths
• On the volume of a hyberbolic and spherical tetrahedron
• On the Schlafli differential formula based on edge lengths of tetrahedron in \(H^{3}\) and \(S^{3}\)
• Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin
• On the volume formula for hyperbolic tetrahedra
• A formula for the volume of a hyperbolic tetrahedon
• ON INFINITESIMAL SYMMETRIZATION AND VOLUME FORMULA FOR SPHERICAL OR HYPERBOLIC TETRAHEDRONS
• On the asymptotics of volume for non-Euclidean simplices

This page was built for publication: Explicit volume formula for a hyperbolic tetrahedron in terms of edge lengths