Metrics with conical singularities on the sphere and sharp extensions of the theorems of Landau and Schottky

DOI10.1007/s00209-009-0649-xzbMath1217.30038arXiv0911.0758OpenAlexW2165835932MaRDI QIDQ2430662

Oliver Roth, Toshiyuki Sugawa, Daniela Kraus

Publication date: 8 April 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.0758

zbMATH Keywords

thrice-punctured spheregeneralized hyperbolic metricprecise and explicit lower boundssharp versions of Landau and Schottky type theorems

Mathematics Subject Classification ID

Related Items (7)

Determinants of Laplacians for constant curvature metrics with three conical singularities on the 2-sphere ⋮ Bounded projective functions and hyperbolic metrics with isolated singularities ⋮ On determinants of Laplacians on compact Riemann surfaces equipped with pullbacks of conical metrics by meromorphic functions ⋮ Strong submultiplicativity of the Poincaré metric ⋮ Sharp lower bounds for the hyperbolic metric of the complement of a closed subset of the unit circle and theorems of Schwarz-Pick-, Schottky- and Landau-type for analytic functions ⋮ Isolated singularities of affine special Kähler metrics in two dimensions ⋮ Affine special Kähler structures in real dimension two

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