Entire spacelike radial graphs in the Minkowski space, asymptotic to the light-cone, with prescribed scalar curvature
| dc.creator | Bayard, Pierre | |
| dc.creator | Delanoë, Philippe | |
| dc.date | 2007-07-07 | |
| dc.date.accessioned | 2026-07-07T08:14:32Z | |
| dc.date.available | 2026-07-07T08:14:32Z | |
| dc.description | Existence and uniqueness in ${\Bbb R}^{n,1}$ of entire spacelike hypersurfaces contained in the future of the origin $O$ and asymptotic to the light-cone, with scalar curvature prescribed at their generic point $M$ as a negative function of the unit vector $\overrightarrow{Om}$ pointing in the direction of $\overrightarrow{OM}$, divided by the square of the norm of $\overrightarrow{OM}$ (a dilation invariant problem). The solutions are seeked as graphs over the future unit-hyperboloid emanating from $O$ (the hyperbolic space); radial upper and lower solutions are constructed which, relying on a previous result in the Cartesian setting, imply their existence. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/0707.1092 | |
| dc.identifier | http://arxiv.org/abs/0707.1092 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/133156 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C40; 35J65; 34C11 | |
| dc.title | Entire spacelike radial graphs in the Minkowski space, asymptotic to the light-cone, with prescribed scalar curvature | |
| dc.type | text |