Mathematics – Complex Variables
Scientific paper
2004-07-18
Izv. Math. 69:6 (2005) 1189-1202, 1203-1210. (Expanded two-part version.)
Mathematics
Complex Variables
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.
Nemirovski Stefan
Shafikov Rasul
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