Publication details
On Hyperbolicity of Domains with Strictly Pseudoconvex Ends
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.4153/CJM-2012-036-4 |
| Field | General mathematics |
| Keywords | Kobayashi hyperbolicity; Kahler metric; plurisubharmonic function |
| Description | 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. |