Non-negatively curved Kähler manifolds with average quadratic curvature decay
| dc.creator | Chau, Albert | |
| dc.creator | Tam, Luen-Fai | |
| dc.date | 2005-10-12 | |
| dc.date.accessioned | 2026-07-07T06:47:25Z | |
| dc.date.available | 2026-07-07T06:47:25Z | |
| dc.description | Let $(M, g)$ be a complete non-compact Kähler manifold with non-negative and bounded holomorphic bisectional curvature. Extending our techniques developed in \cite{CT3}, we prove that the universal cover $\wt M$ of $M$ is biholomorphic to $\ce^n$ provided either that $(M, g)$ has average quadratic curvature decay, or $M$ supports an eternal solution to the Kähler-Ricci flow with non-negative and uniformly bounded holomorphic bisectional curvature. We also classify certain local limits arising from the Kähler-Ricci flow in the absence of uniform estimates on the injectivity radius. | |
| dc.identifier | https://arxiv.org/abs/math/0510252 | |
| dc.identifier | http://arxiv.org/abs/math/0510252 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103645 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 53C55; 35K90 | |
| dc.title | Non-negatively curved Kähler manifolds with average quadratic curvature decay | |
| dc.type | text |