Invariant conformal metrics on S^n
| dc.creator | Espinar, Jose M. | |
| dc.date | 2008-08-19 | |
| dc.date | 2008-11-17 | |
| dc.date.accessioned | 2026-07-07T10:18:18Z | |
| dc.date.available | 2026-07-07T10:18:18Z | |
| dc.description | In this paper we use the relationship between conformal metrics on the sphere and horospherically convex hypersurfaces in the hyperbolic space for giving sufficient conditions on a conformal metric to be radial under some constrain on the eigenvalues of its Schouten tensor. Also, we study conformal metrics on the sphere which are invariant by a $k-$parameter subgroup of conformal diffeomorphisms of the sphere, giving a bound on its maximum dimension. Moreover, we classify conformal metrics on the sphere whose eigenvalues of the Shouten tensor are all constant (we call them \emph{isoparametric conformal metrics}), and we use a classification result for radial conformal metrics which are solution of some $σ_k -$Yamabe type problem for obtaining existence of rotational spheres and Delaunay-type hypersurfaces for some classes of Weingarten hypersurfaces in $\h ^{n+1}$. | |
| dc.description | We have included the classification of conformal metrics on the sphere whose eigenvalues of the Shouten tensor are all constant (we call them \emph{isoparametric conformal metrics}) | |
| dc.identifier | https://arxiv.org/abs/0808.2658 | |
| dc.identifier | http://arxiv.org/abs/0808.2658 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174144 | |
| dc.subject | Differential Geometry | |
| dc.title | Invariant conformal metrics on S^n | |
| dc.type | text |