Spectral deformation and Bäcklund transformation of constrained Willmore surfaces

DOI10.1016/j.difgeo.2011.04.051zbMath1225.53011OpenAlexW2049043046WikidataQ115356819 ScholiaQ115356819MaRDI QIDQ719857

Áurea C. Quintino

Publication date: 12 October 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.04.051

zbMATH Keywords

Bäcklund transformationsconserved quantitiesconstant mean curvature surfacesconstrained Willmore surfacesspectral deformation

Mathematics Subject Classification ID

Related Items (3)

Minimal n -noids in hyperbolic and anti-de Sitter 3-space ⋮ Isothermic constrained Willmore tori in 3-space ⋮ Energy of sections of the Deligne-Hitchin twistor space

Cites Work

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• A duality theorem for Willmore surfaces
• Constrained Willmore surfaces
• The conformal Gauss map of submanifolds of the Möbius space
• Harmonic maps into Lie groups (classical solutions of the chiral model)
• Remarks on the Darboux transform of isothermic surfaces
• Special isothermic surfaces of type d
• Willmore Surfaces with a Duality in S ^N (1)
• Bäcklund transformations and loop group actions
• CHARACTERIZATIONS OF BIANCHI–BÄCKLUND TRANSFORMATIONS OF CONSTANT MEAN CURVATURE SURFACES
• Conformal geometry of surfaces in \(S^4\) and quaternions

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