Abstract
We prove a bubble-neck decomposition together with an energy quantization result for sequences of Willmore surfaces into ${\mathbb R}^m$ with uniformly bounded energy and nondegenerating conformal type. We deduce the strong compactness of Willmore closed surfaces of a given genus modulo the Möbius group action, below some energy threshold.
Note: To view the article, click on the URL link for the DOI number.
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