Ricci Flow of 3-D Manifolds with One Killing Vector
| dc.creator | Gegenberg, J. | |
| dc.creator | Kunstatter, G. | |
| dc.date | 2004-09-28 | |
| dc.date.accessioned | 2026-07-07T04:17:33Z | |
| dc.date.available | 2026-07-07T04:17:33Z | |
| dc.description | We implement a suggestion by Bakas and consider the Ricci flow of 3-d manifolds with one Killing vector by dimensional reduction to the corresponding flow of a 2-d manifold plus scalar (dilaton) field. By suitably modifying the flow equations in order to make them manifestly parabolic, we are able to show that the equations for the 2-d geometry can be put in the form explicitly solved by Bakas using a continual analogue of the Toda field equations. The only remaining equation, namely that of the scale factor of the extra dimension, is a linear equation that can be readily solved using standard techniques once the 2-geometry is specified. We illustrate the method with a couple of specific examples. | |
| dc.identifier | https://arxiv.org/abs/hep-th/0409293 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0409293 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/52795 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Ricci Flow of 3-D Manifolds with One Killing Vector | |
| dc.type | text |