Uniformization of strictly pseudoconvex domains

Mathematics – Complex Variables

Scientific paper

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Scientific paper

10.1070/IM2005v069n06ABEH002295

It is shown that two strictly pseudoconvex Stein domains with real analytic
boundaries have biholomorphic universal coverings provided that their
boundaries are locally biholomorphically equivalent. This statement can be
regarded as a higher dimensional analogue of the Riemann uniformization
theorem.

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