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Removable and essential singular sets for higher dimensional conformal maps
| Content Provider | Semantic Scholar |
|---|---|
| Author | Francês, Carlos Renato Lisboa |
| Copyright Year | 2011 |
| Abstract | In this article, we prove several results about the extension to the boundary of conformal immersions from an open subset Ω 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 ∂Ω is zero, we completely classify the cases when ∂Ω contains essential singular points, showing that L and N are conformally flat and making the link with the theory of Kleinian groups. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://hal.inria.fr/docs/00/62/90/86/PDF/removable.essential.pdf |
| Alternate Webpage(s) | https://hal.archives-ouvertes.fr/hal-00629086/document |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Conformal dimension Hausdorff measure Immersion Investigative Technique Map Removable media Singular Subgroup manifold newton |
| Content Type | Text |
| Resource Type | Article |
