Function-theoretic Properties for the Gauss Maps of Various Classes of Surfaces

DOI10.4153/CJM-2015-008-5zbMath1336.53068arXiv1311.1931OpenAlexW2962880212MaRDI QIDQ3458254

Yu Kawakami

Publication date: 18 December 2015

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.1931

zbMATH Keywords

minimal surfaceGauss mapramificationconstant mean curvature surfaceunicity theoremfrontomitted valueAhlfors island theoremmaxfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Affine differential geometry (53A15)

Related Items (4)

Remarks on the Gauss images of complete minimal surfaces in Euclidean four-space ⋮ Picard-type theorem and curvature estimate on an open Riemann surface with ramification ⋮ GAUSSIAN CURVATURE AND UNICITY PROBLEM OF GAUSS MAPS OF VARIOUS CLASSES OF SURFACES ⋮ Value distribution for the Gauss maps of various classes of surfaces

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