RAMIFICATION OVER HYPERSURFACES LOCATED IN SUBGENERAL POSITION OF THE GAUSS MAP OF COMPLETE MINIMAL SURFACES WITH FINITE TOTAL CURVATURE

DOI10.2206/KYUSHUJM.72.253zbMath1403.53011OpenAlexW2901087169MaRDI QIDQ4561113

Pham Duc Thoan, Do Duc Thai

Publication date: 10 December 2018

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushujm.72.253

zbMATH Keywords

algebraic curvessecond main theoremGauss map of minimal surfaces

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

Related Items (2)

Unnamed Item ⋮ Distribution value of algebraic curves and the Gauss maps on algebraic minimal surfaces

Cites Work

• Unnamed Item
• The second Main theorem for meromorphic mappings into a complex projective space
• The Gauss map of algebraic complete minimal surfaces omits hypersurfaces in subgeneral position
• On the totally ramified value number of the Gauss map of minimal surfaces
• Algebraic curves and the Gauss map of algebraic minimal surfaces
• Complete minimal surfaces in Euclidean \(n\)-spaces
• The Gauss map of pseudo-algebraic minimal surfaces
• On the Gauss map of minimal surfaces immersed in \(R^ n\)

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