A complete conformal metric of preassigned negative Gaussian curvature for a punctured hyperbolic Riemann surface
| dc.creator | Dey, Rukmini | |
| dc.date | 2004-06-28 | |
| dc.date.accessioned | 2026-07-07T05:09:46Z | |
| dc.date.available | 2026-07-07T05:09:46Z | |
| dc.description | Let $h$ be a complete metric of Gaussian curvature $K_0$ on a punctured Riemann surface of genus $g \geq 1$ (or the sphere with at least three punctures). Given a smooth negative function $K$ with $K=K_0$ in neighbourhoods of the punctures we prove that there exists a metric conformal to $h$ which attains this function as its Gaussian curvature for the punctured Riemann surface. We do so by minimizing an appropriate functional using elementary analysis. | |
| dc.description | 11 pages, no figures, no tables | |
| dc.identifier | https://arxiv.org/abs/math/0406568 | |
| dc.identifier | http://arxiv.org/abs/math/0406568 | |
| dc.identifier | Proc. Indian Acad. Sci. (Math. Sci.), Vol. 114, No. 2, May 2004, pp. 141-151 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71703 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Differential Geometry | |
| dc.title | A complete conformal metric of preassigned negative Gaussian curvature for a punctured hyperbolic Riemann surface | |
| dc.type | text |