Hyper-ideal circle patterns with cone singularities
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Publication:889143
DOI10.1007/s00025-015-0453-3zbMath1330.52026arXiv1406.6741OpenAlexW2054257149MaRDI QIDQ889143
Publication date: 6 November 2015
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.6741
variational principlehyperbolic volumecell complexalternative proofhyper-ideal circle patternhyper-ideal tetrahedron
General geometric structures on low-dimensional manifolds (57M50) Spherical and hyperbolic convexity (52A55) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Circle packings and discrete conformal geometry (52C26)
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Hyper-ideal circle patterns with cone singularities ⋮ Discrete uniformization of polyhedral surfaces with non-positive curvature and branched covers over the sphere via hyper-ideal circle patterns
Cites Work
- Unnamed Item
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- Hyper-ideal circle patterns with cone singularities
- Alexandrov's theorem, weighted Delaunay triangulations, and mixed volumes
- Circle patterns on singular surfaces
- A variational principle for circle packings.
- Lectures on hyperbolic geometry
- Euclidean structures on simplicial surfaces and hyperbolic volume
- Combinatorial optimization in geometry
- Characterizing the Delaunay decompositions of compact hyperbolic surfaces
- A unique representation of polyhedral types. Centering via Möbius transformations
- A rigidity criterion for non-convex polyhedra
- Hyperideal circle patterns
- A characterization of ideal polyhedra in hyperbolic 3-space
- Andreev's theorem on hyperbolic polyhedra
- A variational principle for weighted Delaunay triangulations and hyperideal polyhedra
- Geometry and Topology for Mesh Generation
- Hyperideal polyhedra in hyperbolic 3-space
- Variational principles for circle patterns and Koebe’s theorem
- Sur la rigidité de polyèdres hyperboliques en dimension $3$ : cas de volume fini, cas hyperidéal, cas fuchsien
- ON CONVEX POLYHEDRA IN LOBAČEVSKIĬ SPACES
- ON CONVEX POLYHEDRA OF FINITE VOLUME IN LOBAČEVSKIĬ SPACE
- Geometry and spectra of compact Riemann surfaces