Unicity theorems for the Gauss maps of complete minimal surfaces. II

DOI10.2996/kmj/1138039844zbMath0831.53007OpenAlexW2119710747MaRDI QIDQ1321771

Hirotaka Fujimoto

Publication date: 12 February 1996

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138039844

zbMATH Keywords

Gauss mapminimal surfaces in \(\mathbb{R}^ m\)

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (5)

Uniqueness problem with truncated multiplicities in value distribution theory ⋮ Unicity results for Gauss maps of minimal surfaces immersed in \(\mathbb R^m\) ⋮ Uniqueness results for algebraic and holomorphic curves into ℙn(ℂ) ⋮ GAUSSIAN CURVATURE AND UNICITY PROBLEM OF GAUSS MAPS OF VARIOUS CLASSES OF SURFACES ⋮ Unicity theorem for generalized Gauss maps of immersed harmonic surfaces

Cites Work

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• On the number of exceptional values of the Gauss map of minimal surfaces
• Modified defect relations for the Gauss map of minimal surfaces
• Unicity theorems for the Gauss maps of complete minimal surfaces
• Complete minimal surfaces in Euclidean \(n\)-spaces
• Modified defect relations for the Gauss map of minimal surfaces. II
• Defect Relations for Degenerate Meromorphic Maps
• Modified defect relations for the gauss map of minimal surfaces, III
• An Extension of Schwarz's Lemma

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