Energy quantization for Willmore surfaces and applications

• 成果类型: Article
• 署名作者: Bernard, Yann; Riviere, Tristan
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2014.180.1.2
• 发表日期: 2014
• 页码: 87-136
• 关键词: removability; immersions; EXISTENCE

摘要

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