On the lower bound of energy functional E_1 (I)-- a stability theorem on the Kaehler Ricci flow
| dc.creator | Chen, Xiuxiong | |
| dc.date | 2005-02-09 | |
| dc.date.accessioned | 2026-07-07T05:16:51Z | |
| dc.date.available | 2026-07-07T05:16:51Z | |
| dc.description | In the present paper, we prove a stability theorem for the Kaehler Ricci flow near the infimum of the functional E_1 under the assumption that the initial metric has Ricci > -1 and |Riem| bounded. At present stage, our main theorem still need a topological assumption (1.2) which we hope to be removed in subsequent papers. The underlying moral is: if a Kaehler metric is sufficiently closed to a Kaehler Einstein metric, then the Kaehler Ricci flow converges to it. The present work should be viewed as a first step in a more ambitious program of deriving the existence of Kaehler Einstein metrics with an arbitrary energy level, provided that this energy functional has a uniform lower bound in this Kaehler class. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0502196 | |
| dc.identifier | http://arxiv.org/abs/math/0502196 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74140 | |
| dc.subject | Differential Geometry | |
| dc.title | On the lower bound of energy functional E_1 (I)-- a stability theorem on the Kaehler Ricci flow | |
| dc.type | text |