A C0 estimate for nearly umbilical surfaces

被引：34

作者：

De Lellis, C ^{[1
]}

Müller, S ^{[1
]}

机构：

[1] Max Planck Inst Math Sci, D-04103 Leipzig, Germany

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2006年 / 26卷 / 03期

关键词：

D O I：

10.1007/s00526-006-0005-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Sigma subset of R-3 be a smooth compact connected surface without boundary. Denote by A its second fundamental form and by angstrom the tensor A - ( tr A/2) Id. In [ 4] we proved that, if parallel to angstrom parallel to(L2(Sigma)) is small, then Sigma is W-2,W-2-close to a round sphere. In this note we show that, in addition, the metric of Sigma is C-0-close to the standard metric of S-2.

引用

页码：283 / 296

页数：14