Informace o publikaci
On Hyperbolicity of Domains with Strictly Pseudoconvex Ends
| Autoři | |
|---|---|
| Rok publikování | 2014 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES |
| Fakulta / Pracoviště MU | |
| Citace | |
| Doi | https://doi.org/10.4153/CJM-2012-036-4 |
| Obor | Obecná matematika |
| Klíčová slova | Kobayashi hyperbolicity; Kahler metric; plurisubharmonic function |
| Popis | This article establishes a sufficient condition for Kobayashi hyperbolicity of unbounded domains in terms of curvature. Specifically, when Omega subset of C-n corresponds to a sub-level set of a smooth, real-valued function Psi such that the form omega = i partial derivative partial derivative Psi, is Kahler and has bounded curvature outside a bounded subset, then this domain admits a hermitian metric of strictly negative holomorphic sectional curvature. |