Shapes of tetrahedra with prescribed cone angles

DOI10.1090/S1088-4173-2011-00225-6zbMath1250.51014MaRDI QIDQ2888637

Jorge L. López-López, Ahtziri Gonzalez

Publication date: 1 June 2012

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

geometric structurearea functionspace \(T(\theta_1,\theta_2,\theta_3)\)sphere with four conical singularities

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Polyhedra and polytopes; regular figures, division of spaces (51M20) Length, area and volume in real or complex geometry (51M25) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (4)

Triangulations and quadrangulations of the sphere ⋮ Similarity classes of tetrahedra ⋮ Moduli spaces of flat tori with prescribed holonomy ⋮ Quadrangulations of sphere and ball quotients

Cites Work

• The moduli space of hex spheres
• From spaces of polygons to spaces of polyhedra following Bavard, Ghys and Thurston
• The converse to the Gauss-Bonnet theorem in PL
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Flat Surfaces
• Riemannian geometry
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
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