The problem of prescribed critical functions
| dc.creator | Humbert, Emmanuel | |
| dc.creator | Vaugon, Michel | |
| dc.date | 2007-03-23 | |
| dc.date.accessioned | 2026-07-07T07:53:25Z | |
| dc.date.available | 2026-07-07T07:53:25Z | |
| dc.description | Let $(M,g)$ be a compact Riemannian manifold on dimension $n \geq 4$ not conformally diffeomorphic to the sphere $S^n$. We prove that a smooth function $f$ on $M$ is a critical function for a metric $\tilde{g}$ conformal to $g$ if and only if there exists $x \in M$ such that $f(x)>0$. | |
| dc.identifier | https://arxiv.org/abs/math/0703705 | |
| dc.identifier | http://arxiv.org/abs/math/0703705 | |
| dc.identifier | annals of global analysis 28, No1 (2005) p 19-34 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126249 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C21, 46E35, 26D10 | |
| dc.title | The problem of prescribed critical functions | |
| dc.type | text |