Remarks on Kahler Ricci Flow
| dc.creator | Chen, Xiuxiong | |
| dc.creator | Wang, Bing | |
| dc.date | 2008-09-23 | |
| dc.date | 2009-01-12 | |
| dc.date.accessioned | 2026-07-07T12:27:55Z | |
| dc.date.available | 2026-07-07T12:27:55Z | |
| dc.description | We study some estimates along the Kahler Ricci flow on Fano manifolds. Using these estimates, we show the convergence of Kahler Ricci flow directly if the $α$-invariant of the canonical class is greater than $\frac{n}{n+1}$. Applying these convergence theorems, we can give a flow proof of Calabi conjecture on such Fano manifolds. In particular, the existence of Kahler Einstein metrics on a lot of Fano surfaces can be proved by flow method. Note that this geometric conclusion (based on the same assumption) was established earlier via elliptic method by G. Tian. However, a new proof based on Kahler Ricci flow should be still interesting in its own right. | |
| dc.description | We note an overlap with the paper of Rubinstein [Ru1]. We add more reference | |
| dc.identifier | https://arxiv.org/abs/0809.3963 | |
| dc.identifier | http://arxiv.org/abs/0809.3963 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215373 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 53C44 | |
| dc.title | Remarks on Kahler Ricci Flow | |
| dc.type | text |