ON ALGEBRAIC MINIMAL SURFACES IN ℝ3 DERIVING FROM CHARGE 2 MONOPOLE SPECTRAL CURVES

DOI10.1142/S0129167X05002771zbMath1149.53303MaRDI QIDQ4668490

Anthony J. Small

Publication date: 19 April 2005

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

zbMATH Keywords

minimal surfacesmonopolenull curve

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Elliptic curves (14H52)

Related Items (4)

On regular algebraic hypersurfaces with non-zero constant mean curvature in Euclidean spaces ⋮ Lagrangian curves on spectral curves of monopoles ⋮ Algebraic CMC hypersurfaces of order 3 in Euclidean spaces ⋮ Formulae for null curves deriving from elliptic curves

Cites Work

• \(\text{SU}(2)\) monopoles of charge \(2\)
• The topology of complete minimal surfaces of finite total Gaussian curvature
• Monopoles and geodesics
• Duality for a class of minimal surfaces \(\mathbb{R}^{n+1}\)
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