Energy quantization for Willmore surfaces and applications

Yann Bernard; Tristan Riviere

doi:10.4007/annals.2014.180.1.2

Energy quantization for Willmore surfaces and applications

Yann Bernard, Tristan Riviere

Research output: Contribution to journal › Article › Research › peer-review

37 Citations (Scopus)

Abstract

We prove a bubble-neck decomposition together with an energy quantization result for sequences of Willmore surfaces into Rm with uniformly bounded energy and nondegenerating conformal type. We deduce the strong compactness of Willmore closed surfaces of a given genus modulo the Mobius group action, below some energy threshold

Original language	English
Pages (from-to)	87 - 136
Number of pages	50
Journal	Annals of Mathematics
Volume	180
Issue number	1
DOIs	https://doi.org/10.4007/annals.2014.180.1.2
Publication status	Published - 2014
Externally published	Yes

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10.4007/annals.2014.180.1.2

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title = "Energy quantization for Willmore surfaces and applications",

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DO - 10.4007/annals.2014.180.1.2

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JO - Annals of Mathematics

JF - Annals of Mathematics

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Energy quantization for Willmore surfaces and applications

Abstract

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