Linear structures on the collections of minimal surfaces in \(\mathbb{R}^ 3\) and \(\mathbb{R}^ 4\)

DOI10.1007/BF02108290zbMath0873.53003MaRDI QIDQ1892334

Anthony J. Small

Publication date: 20 October 1997

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

null curvesminimal herissons

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Spaces of embeddings and immersions (58D10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Rational and birational maps (14E05)

Related Items (2)

Duality for a class of minimal surfaces \(\mathbb{R}^{n+1}\) ⋮ Implicit equations of the Henneberg-type minimal surface in the four-dimensional Euclidean space

Cites Work

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• Complete minimal surfaces and minimal herissons
• Minimal surfaces in \(\mathbb{R}^ 3\) and algebraic curves
• The geometry of the generalized Gauss map

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