Probleme Plateau complexe dans les varietes Kahleriennes
| dc.creator | Sarkis, Frederic | |
| dc.date | 1999-05-11 | |
| dc.date | 1999-09-14 | |
| dc.date.accessioned | 2026-07-07T05:29:01Z | |
| dc.date.available | 2026-07-07T05:29:01Z | |
| dc.description | The ``complex Plateau problem'' (or boundary problem) in a complexe manifold X is the problem of characterizing the real submanifolds $Γ$ of X which are boundaries of analytic sub-varieties of $X \backslash Γ$. Our principal result treat the case $X=U\timesω$ where $U$ is a connected complex manifold and $ω$ is a disk-convex Kähler manifold. As a consequence, we obtain results of Harvey-Lawson, Dolbeault-Henkin and Dinh. We give generalizations of Hartogs-Levi and Hartogs-Bochner theorems. Finally, we prove that a strictly pseudo-convex CR structure embeddable in a compact Kähler manifold is embeddable in $\CC^n$ if and only if it has a non constant CR function. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/9905060 | |
| dc.identifier | http://arxiv.org/abs/math/9905060 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78481 | |
| dc.subject | Complex Variables | |
| dc.subject | 32F25, 32F40, 32D15, 32C30 | |
| dc.title | Probleme Plateau complexe dans les varietes Kahleriennes | |
| dc.type | text |