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Removable and essential singular sets for higher dimensional conformal maps
| Content Provider | Semantic Scholar |
|---|---|
| Author | Helvetici, Commentarii Mathematici |
| Copyright Year | 2014 |
| Abstract | In this article, we prove several results about the extension to the boundary of conformal immersions from an open subset of a Riemannian manifold L into another Riemannian manifold N of the same dimension. In dimension n 3, and when the .n 1/-dimensional Hausdorff measure of @ is zero, we completely classify the cases when @ contains essential singular points, showing that L and N are conformally flat and making the link with the theory of Kleinian groups. Mathematics Subject Classification (2010). 53A30, 30C65, 30F40 and 32U30 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://www.ems-ph.org/journals/show_pdf.php?iss=2&issn=0010-2571&rank=5&vol=89 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
