Adjoint transform of Willmore surfaces in \(\mathbb {S}^n\)

DOI10.1007/s00229-006-0635-0zbMath1116.53013arXivmath/0508139OpenAlexW2008596663MaRDI QIDQ2502196

Xiang Ma

Publication date: 12 September 2006

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508139

zbMATH Keywords

Willmore surfacesMöbius geometryadjoint transform

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (7)

Quartic differentials and harmonic maps in conformal surface geometry ⋮ Generalized polar transforms of spacelike isothermic surfaces ⋮ WEIERSTRASS–KENMOTSU REPRESENTATION OF WILLMORE SURFACES IN SPHERES ⋮ Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms ⋮ Willmore surfaces in spheres via loop groups. IV: On totally isotropic Willmore two-spheres in \(S^6\) ⋮ Willmore surfaces in spheres: the DPW approach via the conformal Gauss map ⋮ On Willmore surfaces in 𝑆ⁿ of flat normal bundle

Cites Work

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• Isothermic surfaces in \(\mathbf E^3\) as soliton surfaces
• Willmore Surfaces with a Duality in S ^N (1)
• Willmore two-spheres in the four-sphere
• Conformal geometry of surfaces in \(S^4\) and quaternions

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