Values of Gauss maps of complete minimal surfaces in ℝ^{𝕞} on annular ends

DOI10.1090/S0002-9947-06-04126-2zbMath1107.53042MaRDI QIDQ3420369

Min Ru, Lu Jin

Publication date: 1 February 2007

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

zbMATH Keywords

annular endgeneralized Gauss map

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Value distribution theory in higher dimensions (32H30)

Related Items (1)

Ramification of the Gauss map of complete minimal surfaces in \(\mathbb{R}^3\) and \(\mathbb{R}^4\) on annular ends

Cites Work

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• On subharmonic functions and differential geometry in the large
• On the number of exceptional values of the Gauss map of minimal surfaces
• On values of Gauss maps of complete minimal surfaces on annular ends
• Holomorphic curves and metrics of negative curvature
• An estimate for the Gauss curvature of minimal surfaces in \(\mathbf R^m\) whose Gauss map omits a set of hyperplanes
• Complete minimal surfaces in Euclidean \(n\)-spaces
• Modified defect relations for the Gauss map of minimal surfaces. II
• On the Gauss map of minimal surfaces immersed in \(R^ n\)

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