Pseudo-Riemannian metrics with prescribed scalar curvature
| dc.creator | Nardmann, Marc | |
| dc.date | 2004-09-22 | |
| dc.date | 2004-09-22 | |
| dc.date.accessioned | 2026-07-07T05:12:29Z | |
| dc.date.available | 2026-07-07T05:12:29Z | |
| dc.description | We consider the following generalisation of a well-known problem in Riemannian geometry: When is a smooth real-valued function s on a given compact n-dimensional manifold M (with or without boundary) the scalar curvature of some smooth pseudo-Riemannian metric of index q on M? We prove that this is the case for every s if 2<q<n-2, provided M admits a metric of index q at all. In fact, if 2<q<n-2, then each connected component of the space of pseudo-Riemannian metrics of index q on M contains a metric with scalar curvature s. We prove several theorems for pseudo-Riemannian metrics of index 1 or 2 as well. | |
| dc.description | 172 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0409435 | |
| dc.identifier | http://arxiv.org/abs/math/0409435 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72593 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C50; 53C12; 57R99 | |
| dc.title | Pseudo-Riemannian metrics with prescribed scalar curvature | |
| dc.type | text |