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arxiv: 1406.3406 · v1 · pith:IVOEYJFYnew · submitted 2014-06-13 · 🧮 math.CV

Bergman and Caratheodory metrics of the Kohn-Nirenberg domains

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keywords domainsbergmancaratheodorykohn-nirenbergmetricsarticlecompletecomplex
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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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