Aleksandrov surfaces and hyperbolicity

DOI10.1090/S0002-9947-05-03977-2zbMath1081.30036arXivmath/0311054OpenAlexW1585343101MaRDI QIDQ5461396

Byung-Geun Oh

Publication date: 26 July 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311054

zbMATH Keywords

hyperbolicityAleksandrov surface

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Length, area, volume, other geometric measure theory (28A75) Meromorphic functions of one complex variable (general theory) (30D30) Classification theory of Riemann surfaces (30F20)

Related Items

Strong isoperimetric inequalities and combinatorial curvatures on multiply connected planar graphs, On the number of vertices of positively curved planar graphs, Duality properties of strong isoperimetric inequalities on a planar graph and combinatorial curvatures

Cites Work

• Zum potentialtheoretischen Aspekt der Alexandrowschen Flächentheorie
• Géométrie et théorie des groupes. Les groupes hyperboliques de Gromov. (Geometry and group theory. The hyperbolic groups of Gromov)
• Schlicht regions for entire and meromorphic functions
• Covering properties of meromorphic functions, negative curvature and spherical geometry
• Lectures on \(n\)-dimensional quasiconformal mappings
• A negative answer to Nevanlinna’s type question and a parabolic surface with a lot of negative curvature
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