Weakly inscribed polyhedra

DOI10.1090/btran/59zbMath1495.52011arXiv1709.10389OpenAlexW2757461179MaRDI QIDQ5864304

Jean-Marc Schlenker, Hao Chen

Publication date: 7 June 2022

Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.10389

zbMATH Keywords

Euclidean spacehyperbolic spaceconvex polyhedronquadricreal projective spacecombinatorial characterizationhyperboloid of two sheetshyperbolic-de Sitter spacepolyhedron inscribed in a sphere

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Three-dimensional polytopes (52B10) Spherical and hyperbolic convexity (52A55) Projective differential geometry (53A20) Elementary problems in hyperbolic and elliptic geometries (51M09)

Related Items (1)

Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A geometric transition from hyperbolic to anti-de Sitter geometry
• Fuchsian polyhedra in Lorentzian space-forms
• Collisions of particles in locally AdS spacetimes. I. Local description and global examples
• Decorated Teichmüller theory
• Convex polyhedra in Lorentzian space-forms
• Projective background of the infinitesimal rigidity of frameworks
• The decorated Teichmüller space of punctured surfaces
• Metrics on hyperbolic convex polyhedra
• Graph-theoretical conditions for inscribability and Delaunay realizability
• A rigidity criterion for non-convex polyhedra
• Some problems on polyhedra
• The associahedron and triangulations of the \(n\)-gon
• Convex Fuchs surfaces in Lorentz spaces of constant curvature
• Polyhedra inscribed in a quadric
• Scribability problems for polytopes
• Polyhedral realisation of hyperbolic metrics with conical singularities on compact surfaces
• Ideal triangulations and geometric transitions
• Discrete Differential Geometry
• A characterization of convex hyperbolic polyhedra and of convex polyhedra inscribed in the sphere
• Lectures on Polytopes
• Convex Polytopes
• Convex Polyhedra

This page was built for publication: Weakly inscribed polyhedra