Article ID Journal Published Year Pages File Type
8900112 Journal of Mathematical Analysis and Applications 2018 6 Pages PDF
Abstract
This note concerns tube domains in C2 with the envelope of holomorphy not equal to the entire space. We construct examples showing that for such domains the sufficient condition for Kobayashi hyperbolicity due to M. Jarnicki and P. Pflug cannot be replaced by its weaker “affine” variant, which is known to be a necessary condition for hyperbolicity. Thus, we arrive at the somewhat unexpected conclusion that the obstructions for a domain in the above class to be Kobayashi hyperbolic are not just “affine”.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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