3-DIMENSIONAL SCHLÄFLI FORMULA AND ITS GENERALIZATION

DOI10.1142/S0219199708003046zbMath1162.53007arXiv0802.2580OpenAlexW2004677891MaRDI QIDQ3607434

Feng Luo

Publication date: 2 March 2009

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.2580

zbMATH Keywords

dihedral angleedge lengthtetrahedroncosine lawSchlaefli formula

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Non-Euclidean differential geometry (53A35)

Related Items (9)

Combinatorial Ricci flow on compact 3-manifolds with boundary ⋮ Reciprocity of the Wigner derivative for spherical tetrahedra ⋮ Volume formula for a \(\mathbb Z_2\)-symmetric spherical tetrahedron through its edge lengths ⋮ 3d super hyperbolic geometry ⋮ Calculus of generalized hyperbolic tetrahedra ⋮ Spherical geometry and integrable systems ⋮ Lengthening a tetrahedron ⋮ Conformal variations and quantum fluctuations in discrete gravity ⋮ Combinatorial Calabi flow on 3-manifolds with toroidal boundary

Cites Work

• \(6j\) symbols for \(u_q(\mathfrak{sl}_2)\) and non-Euclidean tetrahedra
• Classical \(6j\)-symbols and the tetrahedron

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