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Energy Quantization for Willmore Surfaces and Applications
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Energy Quantization for Willmore Surfaces and Applications
classification
math.AP
math.DG
keywords
energysurfaceswillmorequantizationactionapplicationsarbitrarybelow
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We prove a bubble-neck decomposition together with an energy quantization result for sequences of Willmore surfaces into an arbitrary euclidian space with uniformly bounded energy and non-degenerating conformal type. We deduce the strong compactness of Willmore closed surfaces of a given genus modulo the M\"obius group action, below some energy threshold
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