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On Hyperbolicity of Domains with Strictly Pseudoconvex Ends

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HARRIS Adam Gregory KOLÁŘ Martin

Druh Článek v odborném periodiku
Časopis / Zdroj CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
Doi http://dx.doi.org/10.4153/CJM-2012-036-4
Obor Obecná matematika
Klíčová slova Kobayashi hyperbolicity; Kahler metric; plurisubharmonic function
Popis 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.