Willmore surfaces in the four-sphere

DOI10.1007/BF00055016zbMath0705.53028OpenAlexW1981597543MaRDI QIDQ917949

Emilio Musso

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf00055016

zbMATH Keywords

finite total curvatureWillmore functionalminimal immersionumbilic pointsconformal transformWeierstrass representation formulaWillmore immersions

Mathematics Subject Classification ID

Related Items (9)

On Willmore Legendrian surfaces in \(\mathbb S^5\) and the contact stationary Legendrian Willmore surfaces ⋮ On Otsuki tori and their Willmore energy ⋮ The Willmore conjecture ⋮ Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms ⋮ Willmore surfaces in spheres via loop groups. IV: On totally isotropic Willmore two-spheres in \(S^6\) ⋮ Soliton 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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• A duality theorem for Willmore surfaces
• The conformal Gauss map of submanifolds of the Möbius space
• Holomorphic curves in the complex quadric
• Submanifolds of the Möbius space

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