The compactness result for Kähler Ricci solitons
| dc.creator | Cao, Huai-Dong | |
| dc.creator | Sesum, Natasa | |
| dc.date | 2005-04-26 | |
| dc.date | 2005-09-21 | |
| dc.date.accessioned | 2026-07-07T06:18:39Z | |
| dc.date.available | 2026-07-07T06:18:39Z | |
| dc.description | In this paper we prove the compactness result for compact Kähler Ricci gradient shrinking solitons. If $(M_i,g_i)$ is a sequence of Kähler Ricci solitons of real dimension $n \ge 4$, whose curvatures have uniformly bounded $L^{n/2}$ norms, whose Ricci curvatures are uniformly bounded from below and $μ(g_i,1/2) \ge A$ (where $μ$ is Perelman's functional), there is a subsequence $(M_i,g_i)$ converging to a compact orbifold $(M_{\infty},g_{\infty})$ with finitely many isolated singularitites, where $g_{\infty}$ is a Kähler Ricci soliton metric in an orbifold sense (satisfies a soliton equation away from singular points and smoothly extends in some gauge to a metric satisfying Kähler Ricci soliton equation in a lifting around singular points). | |
| dc.identifier | https://arxiv.org/abs/math/0504526 | |
| dc.identifier | http://arxiv.org/abs/math/0504526 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94809 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C44 | |
| dc.title | The compactness result for Kähler Ricci solitons | |
| dc.type | text |