Classification of homogeneous Willmore surfaces in \(S^n\)

zbMath1475.53021arXiv1805.03632MaRDI QIDQ2215984

Peng Wang, Josef F. Dorfmeister

Publication date: 15 December 2020

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

Full work available at URL: https://arxiv.org/abs/1805.03632

zbMATH Keywords

classificationWillmore surfacesloop grouphomogeneous surfaces

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Differential geometry of symmetric spaces (53C35) Differential geometry of submanifolds of Möbius space (53A31)

Related Items (4)

Unnamed Item ⋮ On symmetric Willmore surfaces in spheres. II: The orientation reversing case ⋮ Willmore surfaces in spheres: the DPW approach via the conformal Gauss map ⋮ Willmore deformations between minimal surfaces in \(\mathbb{H}^{n+2}\) and \(\mathbb{S}^{n+2}\)

Cites Work

• A duality theorem for Willmore surfaces
• On symmetric Willmore surfaces in spheres. I: The orientation preserving case.
• On symmetries of constant mean curvature surfaces. I: General theory
• New examples of Willmore surfaces in \(S^n\)
• Sur les surfaces représentees par les fonctions spheriques de premiere espece
• Families of flat minimal tori in \(\mathbb{C} P^ n\)
• Willmore surfaces in spheres via loop groups. III: On minimal surfaces in space forms
• Minimal immersions of surfaces in Euclidean spheres
• EQUIVARIANT HARMONIC CYLINDERS
• Willmore Surfaces with a Duality in S ^N (1)
• The maximal solvable subgroups of SO(p,q) groups
• Möbius homogeneous Willmore 2-spheres
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