On the Kobayashi hyperbolicity of certain tube domains

2011/11/14 by Huckleberry, Alan, Isaev, Alexander
#31A15 #32Q45 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1111.3388

Abstract

In an earlier article the second author introduced three families of tube domains in \mathbf C² with holomorphic automorphism group isomorphic to \mathbf R\ltimes\mathbf R² and envelope of holomorphy equal to \mathbf C². In the present paper we show that every domain in each of these families is Kobayashi-hyperbolic.

Related

• On necessary and sufficient conditions for the Kobayashi hyperbolicity\n of tube domains in mathbb C²
• On the Kobayashi hyperbolicity of tube domains in \mathbb C²
• Unbounded Kobayashi hyperbolic domains in \mathbb Cⁿ
• Hyperbolic n-dimensional manifolds with automorphism group of dimension n²
• Hyperbolic manifolds of dimension n with automorphism group of dimension n²-1