On Hyperbolicity of Domains with Strictly Pseudoconvex Ends

Title
On Hyperbolicity of Domains with Strictly Pseudoconvex Ends
Publication Date
2014
Author(s)
Harris, Adam
( author )
OrcID: https://orcid.org/0000-0002-1259-1122
Email: aharris5@une.edu.au
UNE Id une-id:aharris5
Kollar, Martin
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
University of Toronto Press
Place of publication
Canada
DOI
10.4153/CJM-2012-036-4
UNE publication id
une:14494
Abstract
This article establishes a sufficient condition for Kobayashi hyperbolicity of unbounded domains in terms of curvature. Specifically, when Ω ⊂ ℂⁿ corresponds to a sub-level set of a smooth, real-valued function ψ, such that the form w = i∂∂ψ is Kähler and has bounded curvature outside a bounded subset, then this domain admits a hermitian metric of strictly negative holomorphic sectional curvature.
Link
link
Citation
Canadian Journal of Mathematics, 66(1), p. 197-204
ISSN
1496-4279
0008-414X
Start page
197
End page
204

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