• Corpus ID: 88518880

Transformations of harmonic bundles and Willmore surfaces

@article{Quintino2011TransformationsOH,
title={Transformations of harmonic bundles and Willmore surfaces},
author={{\'A}urea Casinhas Quintino},
journal={arXiv: Differential Geometry},
year={2011}
}
• Á. Quintino
• Published 30 December 2011
• Mathematics
• arXiv: Differential Geometry
Willmore surfaces are the extremals of the Willmore functional (possibly under a constraint on the conformal structure). With the characterization of Willmore surfaces by the (possibly perturbed) harmonicity of the mean curvature sphere congruence [Blaschke, Ejiri, Rigoli, Burstall-Calderbank], a zero-curvature formulation follows [Burstall-Calderbank]. Deformations on the level of harmonic maps prove to give rise to deformations on the level of surfaces, with the definition of a spectral…

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