Convergence of a Kähler-Ricci flow
| dc.creator | Sesum, Natasa | |
| dc.date | 2004-02-14 | |
| dc.date.accessioned | 2026-07-07T05:05:27Z | |
| dc.date.available | 2026-07-07T05:05:27Z | |
| dc.description | In this paper we prove that for a given Kähler-Ricci flow with uniformly bounded Ricci curvatures in an arbitrary dimension, for every sequence of times $t_i$ converging to infinity, there exists a subsequence such that $(M,g(t_i + t))\to (Y,\bar{g}(t))$ and the convergence is smooth outside a singular set (which is a set of codimension at least 4) to a solution of a flow. We also prove that in the case of complex dimension 2, without any curvature assumptions we can find a subsequence of times such that we have a convergence to a Kähler-Ricci soliton, away from finitely many isolated singularities. | |
| dc.identifier | https://arxiv.org/abs/math/0402238 | |
| dc.identifier | http://arxiv.org/abs/math/0402238 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70170 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C44 | |
| dc.title | Convergence of a Kähler-Ricci flow | |
| dc.type | text |