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Uniformization and Steinness

  • 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
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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 Stein manifold, covering, spherical domain
MSC Classifications: 32T15, 32Q30 show english descriptions Strongly pseudoconvex domains
Uniformization
32T15 - Strongly pseudoconvex domains
32Q30 - Uniformization
 

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