The Gauss map of algebraic complete minimal surfaces omits hypersurfaces in subgeneral position

DOI10.1007/s10013-017-0259-6zbMath1394.53013OpenAlexW2757914917MaRDI QIDQ723421

Pham Duc Thoan, Do Duc Thai

Publication date: 31 July 2018

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

Full work available at URL: https://doi.org/10.1007/s10013-017-0259-6

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)

RAMIFICATION OVER HYPERSURFACES LOCATED IN SUBGENERAL POSITION OF THE GAUSS MAP OF COMPLETE MINIMAL SURFACES WITH FINITE TOTAL CURVATURE ⋮ 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
• On the number of exceptional values of the Gauss map of minimal surfaces
• Global properties of minimal surfaces in \(E^ 3\) and \(E^ n\)
• Algebraic curves and the Gauss map of algebraic minimal surfaces
• 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 \(R^ n\)

This page was built for publication: The Gauss map of algebraic complete minimal surfaces omits hypersurfaces in subgeneral position