Uniformization of strictly pseudoconvex domains. I

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©, 2005 Russian Academy of Sciences, (DoM) and London Mathematical Society, Turpion Ltd
, , Citation S Yu Nemirovskii and Ruslan G Shafikov 2005 Izv. Math. 69 1189 DOI 10.1070/IM2005v069n06ABEH002295

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1 Steklov Mathematical Institute, Russian Academy of Sciences

2 Department of Mathematics, University of Western Ontario, London, Ontario, Canada

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1064-5632/69/6/1189

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 uniformization theorem.

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10.1070/IM2005v069n06ABEH002295