Conformal Extentsion of Metrics of Negative Curvature
| dc.creator | Mangoubi, Dan | |
| dc.date | 2002-02-25 | |
| dc.date | 2002-10-06 | |
| dc.date.accessioned | 2026-07-07T07:36:17Z | |
| dc.date.available | 2026-07-07T07:36:17Z | |
| dc.description | We consider the problem of extending a conformal metric of negative curvature, given outside a neighbourhood of 0 in the unit disk $\DD$, to a conformal metric of negative curvature in $\DD$. We give conditions under which such an extension is possible, and also give obstructions to such an extension. The methods we use are based on a maximum principle and the Ahlfors--Schwarz Lemma. We apply these considerations to compactification of Riemann surfaces. | |
| dc.description | In Memory of Robert Brooks. An analysis of Gromov's example added. 20 pages, 5 figures. to appear in Journal d'Analyse Mathematique | |
| dc.identifier | https://arxiv.org/abs/math/0202249 | |
| dc.identifier | http://arxiv.org/abs/math/0202249 | |
| dc.identifier | J. Anal. Math. 91 (2003), 193--209. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120374 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53c21; 30f45 | |
| dc.title | Conformal Extentsion of Metrics of Negative Curvature | |
| dc.type | text |