Bergman and Caratheodory metrics of the Kohn-Nirenberg domains

2014/06/13 by Ahn, Taeyong, Gaussier, Herve, Kim, Kang-Tae
#32T27 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1406.3406

Abstract

The Kohn-Nireberg domains are unbounded domains in the complex Euclidean space of dimension 2 upon which many outstanding questions are yet to be explored. The primary aim of this article is to demonstrate that the Bergman and Caratheodory metrics of any Kohn-Nirenberg domains are positive and complete.

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