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Dressing transformations of constrained Willmore surfaces

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Publication:402737
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DOI10.4310/CAG.2014.V22.N3.A4zbMath1306.53051arXiv1307.2077MaRDI QIDQ402737

Áurea C. Quintino, Francis E. Burstall

Publication date: 28 August 2014

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.2077


zbMATH Keywords

harmonic mapWillmore functionaldressing transformationWillmore conjecture


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)


Related Items (6)

Quartic differentials and harmonic maps in conformal surface geometry ⋮ Simple factor dressing and the López-Ros deformation of minimal surfaces in Euclidean 3-space ⋮ The \(\mu\)-Darboux transformation of minimal surfaces ⋮ Isothermic constrained Willmore tori in 3-space ⋮ Minimal surfaces under constrained Willmore transformation ⋮ Willmore deformations between minimal surfaces in \(\mathbb{H}^{n+2}\) and \(\mathbb{S}^{n+2}\)







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