Energy quantization for Willmore surfaces and applications

被引：42

作者：

Bernard, Yann ^{[1
]}

Riviere, Tristan ^{[2
]}

机构：

[1] Univ Regensburg, Fak Math, D-93053 Regensburg, Germany

[2] ETH Zentrum, Zurich, Switzerland

来源：

ANNALS OF MATHEMATICS | 2014年 / 180卷 / 01期

关键词：

REMOVABILITY; IMMERSIONS; EXISTENCE;

D O I：

10.4007/annals.2014.180.1.2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：87 / 136

页数：50

共 36 条

[31] Estimation of the conformal factor under bounded Willmore energy [J].