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Seidel's problem on the volume of a non-Euclidean tetrahedron

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Publication:542308
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DOI10.1134/S1064562410060013zbMath1228.52007OpenAlexW1994085033MaRDI QIDQ542308

Nikolaĭ Vladimirovich Abrosimov

Publication date: 8 June 2011

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562410060013


zbMATH Keywords

volumeGram matrixnon-Euclidean tetrahedron


Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Polyhedra and polytopes; regular figures, division of spaces (51M20) Length, area and volume in real or complex geometry (51M25)


Related Items (2)

Seidel's conjectures in hyperbolic 3-space ⋮ Volumes of polyhedra in non-Euclidean spaces of constant curvature



Cites Work

  • On a problem of Fenchel
  • On the volume of a hyberbolic and spherical tetrahedron
  • On the volume of hyperbolic polyhedra
  • On the volume formula for hyperbolic tetrahedra
  • Hyperbolic geometry: The first 150 years




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