Geodesic
Energy quantization for Willmore surfaces and applications
Yann Bernard1 ; Tristan Rivière2
1 Fakultät für Mathematik, Universität Regensburg, 93040 Regenseburg, Germany
2 Department of Mathematics, ETH Zentrum, 8092 Zürich, Switzerland
Annals of mathematics, Tome 180 (2014) no. 1, pp. 87-136.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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.
DOI : 10.4007/annals.2014.180.1.2

Yann Bernard 1 ; Tristan Rivière 2

1 Fakultät für Mathematik, Universität Regensburg, 93040 Regenseburg, Germany
2 Department of Mathematics, ETH Zentrum, 8092 Zürich, Switzerland 
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Yann Bernard; Tristan Rivière. Energy quantization for Willmore surfaces and applications. Annals of mathematics, Tome 180 (2014) no. 1, pp. 87-136. doi : 10.4007/annals.2014.180.1.2. http://geodesic.mathdoc.fr/articles/10.4007/annals.2014.180.1.2/

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