Canonical metrics on Hartogs domains
| dc.creator | Loi, Andrea | |
| dc.creator | Zuddas, Fabio | |
| dc.date | 2008-05-09 | |
| dc.date.accessioned | 2026-07-07T09:38:01Z | |
| dc.date.available | 2026-07-07T09:38:01Z | |
| dc.description | An $n$-dimensional Hartogs domain $D_F$ with strongly pseudoconvex boundary can be equipped with a natural Kaehler metric $g_F$. This paper contains two results. In the first one we prove that if $g_F$ is an extremal Kaehler metric then $(D_F, g_F)$ is holomorphically isometric to an open subset of the $n$-dimensional complex hyperbolic space. In the second one we prove the same assertion under the assumption that there exists a real holomorphic vector field $X$ on $D_F$ such that $(g_F, X)$ is a Kaehler-Ricci soliton. | |
| dc.description | This paper contains the results about extremal metrics described in arXiv:0705.2124v1 | |
| dc.identifier | https://arxiv.org/abs/0805.1307 | |
| dc.identifier | http://arxiv.org/abs/0805.1307 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160658 | |
| dc.subject | Differential Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | 53C55; 32Q15; 32T15 | |
| dc.title | Canonical metrics on Hartogs domains | |
| dc.type | text |