On the Gauss map of minimal surfaces with finite total curvature

DOI10.1017/S0004972700029658zbMath0725.53010OpenAlexW1983600544MaRDI QIDQ5201850

Min Ru

Publication date: 1991

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700029658

zbMATH Keywords

finite total curvatureGauss mapcomplete minimal immersion

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (3)

Modified defect relations of the Gauss map and the total curvature of a complete minimal surface ⋮ Algebraic curves and the Gauss map of algebraic minimal surfaces ⋮ Distribution value of algebraic curves and the Gauss maps on algebraic minimal surfaces

Cites Work

• Unnamed Item
• On the number of exceptional values of the Gauss map of minimal surfaces
• Complete minimal surfaces in Euclidean \(n\)-spaces
• Defect Relations for Degenerate Meromorphic Maps

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