On the image of the generalized Gauss map of a complete minimal surface in \(R^ 4\).

DOI10.2140/pjm.1982.102.9zbMath0498.53047OpenAlexW1982809560MaRDI QIDQ1171297

Chi Cheng Chen

Publication date: 1982

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

Full work available at URL: https://doi.org/10.2140/pjm.1982.102.9

zbMATH Keywords

value distributioncomplete minimal surfacegeneralized Gauss map

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (4)

Remarks on the Gauss images of complete minimal surfaces in Euclidean four-space ⋮ Ramification of the Gauss map of complete minimal surfaces in \(\mathbb{R}^3\) and \(\mathbb{R}^4\) on annular ends ⋮ The Gauss map of pseudo-algebraic minimal surfaces in R⁴ ⋮ Non-integrated defect relations for the Gauss maps of complete minimal surfaces with finite total curvature

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