Collars and partitions of hyperbolic cone-surfaces

DOI10.1007/s10711-007-9172-6zbMath1130.53030arXivmath/0405129OpenAlexW3100032929MaRDI QIDQ2454835

Hugo Parlier, Emily B. Dryden

Publication date: 22 October 2007

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

Full work available at URL: https://arxiv.org/abs/math/0405129

zbMATH Keywords

closed geodesiccollarshyperbolic cone-surface

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Geodesics in global differential geometry (53C22) Differential line geometry (53A25)

Related Items (9)

BERS' CONSTANTS FOR PUNCTURED SPHERES AND HYPERELLIPTIC SURFACES ⋮ On finite marked length spectral rigidity of hyperbolic cone surfaces and the Thurston metric ⋮ Fixed points of compositions of earthquakes ⋮ Constant Gauss curvature foliations of AdS spacetimes with particles ⋮ The convex core of quasifuchsian manifolds with particles ⋮ Hyperbolic ends with particles and grafting on singular surfaces ⋮ Constant mean curvature foliation of globally hyperbolic \((2 + 1)\)-spacetimes with particles ⋮ The maximum injectivity radius of hyperbolic orbifolds ⋮ Connecting \(p\)-gonal loci in the compactification of moduli space

Cites Work

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• A compactness theorem for Fuchsian groups of the second kind
• The collar theorem and examples
• Three-dimensional orbifolds and cone-manifolds
• Discontinuous groups of isometries in the hyperbolic plane. Edited by Asmus L. Schmidt
• A note on collars of simple closed geodesics
• Hyperbolic axes and elliptic fixed points in a fuchsian group
• Geometry and spectra of compact Riemann surfaces

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