中文

Uniformization of strictly pseudoconvex domains

复变函数 2009-04-13 v1

摘要

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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引用

@article{arxiv.math/0407316,
  title  = {Uniformization of strictly pseudoconvex domains},
  author = {Stefan Nemirovski and Rasul Shafikov},
  journal= {arXiv preprint arXiv:math/0407316},
  year   = {2009}
}