Bending invariants of poly-circles. I: Rigidity

DOI10.1007/s10711-010-9507-6zbMath1226.51007OpenAlexW2010097388MaRDI QIDQ649032

Reza Chamanara

Publication date: 30 November 2011

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

Full work available at URL: https://doi.org/10.1007/s10711-010-9507-6

zbMATH Keywords

hyperbolic geometryconvex hullsmeasured laminationsinversive geometrymaximal disks

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Analytic geometry with other transformation groups (51N25)

Cites Work

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• Hyperbolic manifolds with convex boundary
• A characterization of compact convex polyhedra in hyperbolic 3-space
• A canonical metric for Möbius structures and its applications
• Grafting, harmonic maps and projective structures on surfaces
• A characterization of ideal polyhedra in hyperbolic 3-space
• Convex surfaces in Lorentzian spaces of constant curvature
• On geometry of convex ideal polyhedra in hyperbolic 3-space
• Pleating of hyperbolic 3-manifolds
• Measured pleated laminations of hyperbolic manifolds of dimension 3
• Hyperideal polyhedra in hyperbolic 3-space

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