Finite simultaneous bending

DOI10.1090/S1088-4173-06-00119-6zbMath1112.52009OpenAlexW1563715003MaRDI QIDQ3432085

Reza Chamanara

Publication date: 13 April 2007

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

Full work available at URL: https://doi.org/10.1090/s1088-4173-06-00119-6

zbMATH Keywords

approximationconvex hullsJordan curvegraftingMöbius structuresdisk patterns

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Geometric constructions in real or complex geometry (51M15) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Möbius geometries (51B10) Circle packings and discrete conformal geometry (52C26) Analytic geometry with other transformation groups (51N25)

Cites Work

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• A characterization of compact convex polyhedra in hyperbolic 3-space
• Rigidity of infinite disk patterns
• A canonical metric for Möbius structures and its applications
• Euclidean structures on simplicial surfaces and hyperbolic volume
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• A characterization of ideal polyhedra in hyperbolic 3-space
• On geometry of convex ideal polyhedra in hyperbolic 3-space
• Limits of quasi-Fuchsian groups with small bending
• Lengths are coordinates for convex structures
• Measured pleated laminations of hyperbolic manifolds of dimension 3
• Simultaneous uniformization
• Hyperideal polyhedra in hyperbolic 3-space
• A Branched Andreev-Thurston Theorem for Circle Packings of the Sphere
• Kleinian groups which are almost fuchsian
• On Kerckhoff minima and pleating loci for quasi-Fuchsian groups

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