7,462 research outputs found
The Riemann mapping theorem from Riemann's viewpoint
This article presents a clear proof of the Riemann Mapping Theorem via
Riemann's method, uncompromised by any appeals to topological intuition.Comment: 14 pages, 2 figure
Bergman and Caratheodory metrics of the Kohn-Nirenberg domains
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.Comment: 11 page
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