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Uniformization and Steinness

Published:2017-11-02

• Stefan Nemirovski,
Steklov Mathematical Institute, Moscow, Russia and Fakultät für Mathematik, Ruhr-Universität Bochum, Germany
• Rasul Gazimovich Shafikov,
Department of Mathematics, The University of Western Ontario, London ON N6A 5B7, Canada
 Format: LaTeX MathJax PDF

Abstract

It is shown that the unit ball in $\mathbb{C}^n$ is the only complex manifold that can universally cover both Stein and non-Stein strictly pseudoconvex domains.
 Keywords: Stein manifold, covering, spherical domain
 MSC Classifications: 32T15 - Strongly pseudoconvex domains 32Q30 - Uniformization

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