Linear and dynamical stability of Ricci flat metrics
| dc.creator | Sesum, Natasa | |
| dc.date | 2004-10-04 | |
| dc.date | 2004-10-05 | |
| dc.date.accessioned | 2026-07-07T05:12:51Z | |
| dc.date.available | 2026-07-07T05:12:51Z | |
| dc.description | We can talk about two kinds of stability of the Ricci flow at Ricci flat metrics. One of them is a linear stability, defined with respect to Perelman's functional $\mathcal{F}$. The other one is a dynamical stability and it refers to a convergence of a Ricci flow starting at any metric in a neighbourhood of a considered Ricci flat metric. We show that dynamical stability implies linear stability. We also show that a linear stability together with the integrability assumption imply dynamical stability. As a corollary we get a stability result for $K3$ surfaces part of which has been done in \cite{dan2002}. | |
| dc.identifier | https://arxiv.org/abs/math/0410062 | |
| dc.identifier | http://arxiv.org/abs/math/0410062 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72734 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C44 | |
| dc.title | Linear and dynamical stability of Ricci flat metrics | |
| dc.type | text |