Energy Quantization for Willmore Surfaces and Applications
Analysis of PDEs
2011-06-21 v1 Differential Geometry
Abstract
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
Keywords
Cite
@article{arxiv.1106.3780,
title = {Energy Quantization for Willmore Surfaces and Applications},
author = {Yann Bernard and Tristan Rivière},
journal= {arXiv preprint arXiv:1106.3780},
year = {2011}
}