Vertex angles of a simplex in hyperbolic space \(H^n\)

DOI10.1007/s10711-006-9077-9zbMath1104.51011OpenAlexW2015653506MaRDI QIDQ2503121

Atakan T. Yakut, Baki Karliga

Publication date: 14 September 2006

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-006-9077-9

zbMATH Keywords

spherical geometryhyperbolic geometryhigh dimensionalsine theorem

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Polyhedra and polytopes; regular figures, division of spaces (51M20) Spherical and hyperbolic convexity (52A55) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (3)

Orthogonal projections based on hyperbolic and spherical \(n\)-simplex ⋮ Inequalities for an \(n\)-simplex in spherical space \(S_n (1)\) ⋮ On the Schlafli differential formula based on edge lengths of tetrahedron in \(H^{3}\) and \(S^{3}\)

Cites Work

• On a problem of Fenchel
• A characterization of compact convex polyhedra in hyperbolic 3-space
• The generalized sine theorem and inequalities for simplices
• A Schläfli differential formula for simplices in semi-Riemannian hyperquadrics, Gauss-Bonnet formulas for simplices in the de Sitter sphere and the dual volume of a hyperbolic simplex
• On the existence and construction of stably causal Lorentzian metrics.
• Edge matrix of hyperbolic simplices
• Determinantensätze und Simplexeigenschaften (Verallgemeinerung trigonometrischer Lehrsätze auf n‐dimensionale Simplexe)
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