Abstract:In this paper, we prove a convergence result for sequences of Willmore immersions with simple minimal bubbles. To this end, we replace the total curvature control in the proof of the ε-regularity for Willmore immersions by a control of the local Willmore energy.Résumé. -Dans cet article, nous montrons une convergence pour des suites d'immersions de Willmore à bulles minimales simples. À cette fin, nous remplaçons le contrôle par la courbure totale dans la preuve de l'ε-régularité pour les immersions de Willmor… Show more
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