Abstract
We consider Willmore surfaces in with an isolated singularity of finite density at the origin. We show that locally, the surface is a union of finitely many multivalued graphs, each with a unique tangent plane at zero and with second fundamental form satisfying where is the maximal multiplicity. Examples of branched minimal surfaces show that this estimate is optimal up to the error
Citation
Ernst Kuwert. Reiner Schätzle. "Branch points of Willmore surfaces." Duke Math. J. 138 (2) 179 - 201, 1 June 2007. https://doi.org/10.1215/S0012-7094-07-13821-3
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