On metrics of positive Ricci curvature conformal to MxR^m
| dc.creator | Ruiz, Juan Miguel | |
| dc.date | 2008-03-26 | |
| dc.date | 2008-04-10 | |
| dc.date.accessioned | 2026-07-07T09:31:15Z | |
| dc.date.available | 2026-07-07T09:31:15Z | |
| dc.description | Let (M, g) be a closed Riemannian manifold and gE the Euclidean metric. We show that for m > 1, (M x R^m, (g + gE)) is not conformal to a positive Einstein manifold. Moreover, (M x R^m, (g + gE)) is not conformal to a Riemannian manifold of positive Ricci curvature, through a smooth, radial, positive, integrable function of R^m, for m > 1. These results are motivated by some recent questions on Yamabe constants. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/0803.3789 | |
| dc.identifier | http://arxiv.org/abs/0803.3789 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158390 | |
| dc.subject | Differential Geometry | |
| dc.title | On metrics of positive Ricci curvature conformal to MxR^m | |
| dc.type | text |