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On Hyperbolicity of Domains with StrictlyPseudoconvex Ends
Published online by Cambridge University Press: 20 November 2018
Abstract
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This article establishes a sufficient condition for Kobayashi hyperbolicity of unbounded domains in terms of curvature. Specifically, when $\Omega \,\subset \,{{\mathbb{C}}^{n}}$ corresponds to a sub-level set of a smooth, real-valued function Ψ such that the form $\omega \,=\,\mathbf{i}\partial \bar{\partial }\Psi $ is Kähler and has bounded curvature outside a bounded subset, then this domain admits a hermitian metric of strictly negative holomorphic sectional curvature.
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- Research Article
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- Copyright © Canadian Mathematical Society 2014
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