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Title: On Hyperbolicity of Domains with Strictly Pseudoconvex Ends
Contributor(s): Harris, Adam  (author)orcid ; Kollar, Martin (author)
Publication Date: 2014
Open Access: Yes
DOI: 10.4153/CJM-2012-036-4Open Access Link
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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.
Publication Type: Journal Article
Source of Publication: Canadian Journal of Mathematics, 66(1), p. 197-204
Publisher: University of Toronto Press
Place of Publication: Toronto, Canada
ISSN: 1496-4279
Field of Research (FOR): 010111 Real and Complex Functions (incl Several Variables)
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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