Abstract
Abstract In this paper we classify branched Willmore spheres with at most three branch points (including multiplicity), showing that they may be obtained from complete minimal surfaces in ℝ3 with ends of multiplicity at most three. This extends the classification result of Bryant. We then show that this may be applied to the analysis of singularities of the Willmore flow of non-Willmore spheres with Willmore energy 𝒲 ( f ) ≤ 16 π $ \mathcal {W} (f) \le 16\pi $ .
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Schedule a callMore From: Journal für die reine und angewandte Mathematik (Crelles Journal)
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