Duality for a class of minimal surfaces \(\mathbb{R}^{n+1}\)

DOI10.2748/tmj/1178224720zbMath0981.53009OpenAlexW2094222565MaRDI QIDQ1976500

Anthony J. Small

Publication date: 18 March 2002

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178224720

zbMATH Keywords

minimal surfaceEuclidean spaceholomorphic curveGauss mapalgebraic curvesline bundleEnneper's surfaceGaussian imageHenneberg's surfacePlatonic symmetries

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Special algebraic curves and curves of low genus (14H45) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (5)

OSCULATION AND SINGULARITY OF CHARGE 2 (COMPLEXIFIED) BPS MONOPOLES ⋮ Minimal surfaces with symmetries ⋮ Formulae for null curves deriving from elliptic curves ⋮ ON ALGEBRAIC MINIMAL SURFACES IN ℝ³ DERIVING FROM CHARGE 2 MONOPOLE SPECTRAL CURVES ⋮ Second order contact of minimal surfaces.

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