The Gauss map of a complete non-flat minimal surface cannot omit 7 points of the sphere
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Publication:1160920
DOI10.2307/1971139zbMath0477.53007OpenAlexW2027593881MaRDI QIDQ1160920
Publication date: 1981
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1971139
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Normal functions of one complex variable, normal families (30D45)
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A survey of the geometric results in the classical theory of minimal surfaces ⋮ The extremal surfaces in the 3-dimensional Minkowski space ⋮ The value distribution of Gauss maps of immersed harmonic surfaces with ramification ⋮ On the totally ramified value number of the Gauss map of minimal surfaces ⋮ On complete space-like stationary surfaces in 4-dimensional Minkowski space with graphical Gauss image ⋮ Some results on pseudo-embedded minimal surfaces inR 3 ⋮ Ramification of the Gauss map of complete minimal surfaces in \(\mathbb{R}^3\) and \(\mathbb{R}^4\) on annular ends ⋮ Value distribution properties for the Gauss maps of the immersed harmonic surfaces ⋮ On values of Gauss maps of complete minimal surfaces on annular ends ⋮ The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature ⋮ Deformations of Complete Minimal Surfaces ⋮ Rigidity and mean curvature flow via harmonic Gauss maps ⋮ A Bernstein-type theorem for minimal graphs of higher codimension via singular values ⋮ Classical Schwarz reflection principle for Jenkins-Serrin type minimal surfaces ⋮ The classical theory of minimal surfaces ⋮ Curvature estimates for minimal submanifolds of higher codimension ⋮ A Bernstein type result of translating solitons ⋮ The Bernstein problem for complete Lagrangian stationary surfaces
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