On Hyperbolicity of Domains with Strictly Pseudoconvex Ends

Author(s)
Harris, Adam
Kollar, Martin
Publication Date
2014
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.
Citation
Canadian Journal of Mathematics, 66(1), p. 197-204
ISSN
1496-4279
0008-414X
Link
https://hdl.handle.net/1959.11/14279
Publisher
University of Toronto Press
Title
On Hyperbolicity of Domains with Strictly Pseudoconvex Ends
Type of document
Journal Article
Entity Type
Publication

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