Covering properties of meromorphic functions, negative curvature and spherical geometry

DOI10.2307/2661392zbMath0970.30016arXivmath/0009251OpenAlexW2119084718WikidataQ125729119 ScholiaQ125729119MaRDI QIDQ1840452

Mario Bonk, Alexandre Eremenko

Publication date: 14 May 2001

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0009251

zbMATH Keywords

Gaussian curvatureasymptotic valuespherical trianglefive islands theorem

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35)

Related Items (11)

A lower bound for the Bloch radius of 𝐾-quasiregular mappings ⋮ Generalized harmonic functions and Schwarz lemma for biharmonic mappings ⋮ Improved Bloch and Landau constants for meromorphic functions ⋮ Triangulating metric surfaces ⋮ The Heinz type inequality, Bloch type theorem and Lipschitz characteristic of polyharmonic mappings ⋮ Landau and Bloch constants for meromorphic functions ⋮ Aleksandrov surfaces and hyperbolicity ⋮ The Schwarz type lemmas and the Landau type theorem of mappings satisfying Poisson's equations ⋮ Deformation of Brody curves and mean dimension ⋮ Schwarz type lemmas and a Landau type theorem of functions satisfying the biharmonic equation ⋮ Schwarz-type lemma, Landau-type theorem, and Lipschitz-type space of solutions to inhomogeneous biharmonic equations

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