Uniformization of strictly pseudoconvex domains

Abstract

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.

References in corpus (2)

• Uniformization of strictly pseudoconvex domains
• Analytic Continuation of Holomorphic Correspondences and Equivalence of Domains in ${\mathbb{C}}^n$

Cited by in corpus (7)

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• Continuation of CR-Automorphisms of Levi Degenerate Hyperquadrics to the Projective Space