A Uniformization Theorem Of Complete Noncompact Kähler Surfaces With Positive Bisectional Curvature
| dc.creator | Chen, Bing-Long | |
| dc.creator | Tang, Siu-Hung | |
| dc.creator | Zhu, Xi-Ping | |
| dc.date | 2002-11-24 | |
| dc.date.accessioned | 2026-07-07T04:53:14Z | |
| dc.date.available | 2026-07-07T04:53:14Z | |
| dc.description | In this paper, by combining techniques from Ricci flow and algebraic geometry, we prove the following generalization of the classical uniformization theorem of Riemann surfaces. Given a complete noncompact complex two dimensional Kähler manifold $M$ of positive and bounded holomorphic bisectional curvature, suppose its geodesic balls have Euclidean volume growth and its scalar curvature decays to zero at infinity in the average sense, then $M$ is biholomorphic to $\C^2$. During the proof, we also discover an interesting gap phenomenon which says that a Kähler manifold as above automatically has quadratic curvature decay at infinity in the average sense. | |
| dc.description | 57 pages | |
| dc.identifier | https://arxiv.org/abs/math/0211372 | |
| dc.identifier | http://arxiv.org/abs/math/0211372 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65767 | |
| dc.subject | Differential Geometry | |
| dc.title | A Uniformization Theorem Of Complete Noncompact Kähler Surfaces With Positive Bisectional Curvature | |
| dc.type | text |