197 research outputs found
Uniformization of strictly pseudoconvex domains
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
Extension of holomorphic maps between real hypersurfaces of different dimension
It is proved that the germ of a holomorphic map from a real analytic
hypersurface M in C^n into a strictly pseudoconvex compact real algebraic
hypersurface M' in C^N, 1 < n < N extends holomorphically along any path on M
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