| Title | A $C^0$ estimate for nearly umbilical surfaces. |
| Publication Type | Journal Article |
| Year of Publication | 2006 |
| Authors | De Lellis C., Müller S. |
| Journal | Calculus of Variations and Partial Differential Equations |
| Volume | 26 |
| Pagination | 283–296 |
| Publisher | Springer |
| Type of Article | differential geometry |
| ISSN | 0944-2669 |
| Abstract | Let \ensuremathΣ ? R 3 be a smooth compact connected surface without boundary. Denote by A its second fundamental form and by Å the tensor A?(tr A/2)Id. In [4] we proved that, if ?Å? L 2 (\ensuremathΣ) is small, then \ensuremathΣ is W 2,2-close to a round sphere. In this note we show that, in addition, the metric of \ensuremathΣ is C 0?close to the standard metric of S 2. |
| Notes | Calc. Var. Partial Differential Equations 26 (2006), no. 3, 283–296. |
| URL | http://www.springerlink.com/content/ww16r1w618538614/ |
| DOI | 10.1007/s00526-006-0005-5 |
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