A Note on Riemannian Anti-self-dual Einstein metrics with Symmetry
| dc.creator | Tod, Paul | |
| dc.date | 2006-09-11 | |
| dc.date.accessioned | 2026-07-07T07:24:14Z | |
| dc.date.available | 2026-07-07T07:24:14Z | |
| dc.description | We give a complete proof of the result stated in an earlier article, that the general Einstein metric with a symmetry, an anti-self-dual Weyl tensor and nonzero scalar curvature is determined by a solution of the $SU(\infty)$-Toda field equation. We consider the two canonical forms found for solutions to the same problem by Przanowski (J.Math.Phys. 32(1991) 1004-1010) and show that his Class A will reduce to the Toda equation with respect to a second complex structure, different from that in which the metric is first given. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0609071 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0609071 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116275 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A Note on Riemannian Anti-self-dual Einstein metrics with Symmetry | |
| dc.type | text |