Convergence and stability of locally \mathbb{R}^{N}-invariant solutions of Ricci flow
| dc.creator | Knopf, Dan | |
| dc.date | 2007-11-24 | |
| dc.date | 2009-03-05 | |
| dc.date.accessioned | 2026-07-07T12:48:49Z | |
| dc.date.available | 2026-07-07T12:48:49Z | |
| dc.description | Important models for immortal solutions of Ricci flow that collapse with bounded curvature come from locally G-invariant solutions on principal bundles, where G is a nilpotent Lie group. In this paper, we establish convergence and asymptotic stability, modulo smooth finite-dimensional center manifolds, of certain R^{N}-invariant solutions. When the dimension of the total space is three, these results are relevant to work of Lott classifying the asymptotic behavior of all 3-dimensional Ricci flow solutions whose sectional curvatures and diameters are respectively O(t^{-1}) and O(t^{1/2}). | |
| dc.description | The only revisions are improvements in exposition and notation. To appear in Journal of Geometric Analysis | |
| dc.identifier | https://arxiv.org/abs/0711.3859 | |
| dc.identifier | http://arxiv.org/abs/0711.3859 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222187 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 53C44 (Primary), 58J37 (Secondary) | |
| dc.title | Convergence and stability of locally \mathbb{R}^{N}-invariant solutions of Ricci flow | |
| dc.type | text |