Weierstrass type representation of Willmore surfaces in \(S^n\)

DOI10.1007/s10114-004-0389-0zbMath1158.53336OpenAlexW2022366129WikidataQ125132079 ScholiaQ125132079MaRDI QIDQ2577668

Qiaoling Xia, Yi-Bing Shen

Publication date: 5 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0389-0

zbMATH Keywords

minimal surfaceWillmore surfacesloop groupWeierstrass type representationextended lift of a conformal Willmore immersion

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Harmonic maps, etc. (58E20)

Related Items (4)

WEIERSTRASS–KENMOTSU REPRESENTATION OF WILLMORE SURFACES IN SPHERES ⋮ Willmore surfaces in spheres: the DPW approach via the conformal Gauss map ⋮ On Willmore surfaces in 𝑆ⁿ of flat normal bundle ⋮ Willmore deformations between minimal surfaces in \(\mathbb{H}^{n+2}\) and \(\mathbb{S}^{n+2}\)

Cites Work

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• Willmore hypersurfaces in a sphere
• A duality theorem for Willmore surfaces
• Weierstrass type representation of harmonic maps into symmetric spaces
• On isothermic coordinates

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