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On the Kobayashi hyperbolicity of certain tube domains

Authors: Alan Huckleberry and Alexander Isaev
Journal: Proc. Amer. Math. Soc. 141 (2013), 3141-3146
MSC (2010): Primary 32Q45, 31A15
Published electronically: May 7, 2013
MathSciNet review: 3068967
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Abstract: In an article from 2008 the second author introduced three families of tube domains in $ \mathbb{C}^2$ with holomorphic automorphism group isomorphic to $ \mathbb{R}\ltimes \mathbb{R}^2$ and envelope of holomorphy equal to $ \mathbb{C}^2$. In the present paper we show that every domain in each of these families is Kobayashi-hyperbolic.

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Alan Huckleberry
Affiliation: Fakultät für Mathematik, Ruhr-Universität Bochum, Universitatstraße 150, 44801 Bochum, Germany — and — School of Engineering and Science, Jacobs University Bremen, Campus Ring 1, 28759 Bremen, Germany

Alexander Isaev
Affiliation: Department of Mathematics, The Australian National University, Canberra, ACT 0200, Australia

Received by editor(s): November 14, 2011
Published electronically: May 7, 2013
Communicated by: Franc Forstneric
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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