On the Kobayashi hyperbolicity of certain tube domains

Details On the Kobayashi hyperbolicity of certain tube domains On the Kobayashi hyperbolicity of certain tube domains

2011-11-14

arxiv.org/abs/1111.3388v1

Mathematics

Complex Variables

Scientific paper

In an earlier article the second author introduced three families of tube
domains in ${\mathbf C}^2$ with holomorphic automorphism group isomorphic to
${\mathbf R}\ltimes{\mathbf R}^2$ and envelope of holomorphy equal to ${\mathbf
C}^2$. In the present paper we show that every domain in each of these families
is Kobayashi-hyperbolic.

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