Energy quantization for Willmore surfaces and applications

Yann Bernard, Tristan Riviere

Research output: Contribution to journalArticleResearchpeer-review

18 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 languageEnglish
Pages (from-to)87 - 136
Number of pages50
JournalAnnals of Mathematics
Volume180
Issue number1
DOIs
Publication statusPublished - 2014
Externally publishedYes

Cite this

Bernard, Yann ; Riviere, Tristan. / Energy quantization for Willmore surfaces and applications. In: Annals of Mathematics. 2014 ; Vol. 180, No. 1. pp. 87 - 136.
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Energy quantization for Willmore surfaces and applications. / Bernard, Yann; Riviere, Tristan.

In: Annals of Mathematics, Vol. 180, No. 1, 2014, p. 87 - 136.

Research output: Contribution to journalArticleResearchpeer-review

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