On the maximal number of exceptional values of Gauss maps for various classes of surfaces

DOI10.1007/s00209-012-1115-8zbMath1294.30067arXiv1205.4782OpenAlexW2170306735MaRDI QIDQ358849

Yu Kawakami

Publication date: 9 August 2013

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

Full work available at URL: https://arxiv.org/abs/1205.4782

zbMATH Keywords

minimal surfaceGauss mapconformal metricBernstein type theoremexceptional valuefront

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 (7)

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 ⋮ On complete space-like stationary surfaces in 4-dimensional Minkowski space with graphical Gauss image ⋮ On associate families of spacelike Delaunay surfaces ⋮ GAUSSIAN CURVATURE AND UNICITY PROBLEM OF GAUSS MAPS OF VARIOUS CLASSES OF SURFACES ⋮ Value distribution for the Gauss maps of various classes of surfaces ⋮ Curvature estimate on an open Riemann surface with the induced metric

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