A characterization of domains in $\C^n$ with locally Levi-flat boundaries

Details A characterization of domains in $\C^n$ with locally Levi-flat boundaries A characterization of domains in $\C^n$ with locally Levi-flat boundaries

2011-11-13

arxiv.org/abs/1111.3024v2

Mathematics

Complex Variables

v2: We have added remarks comparing our results to the previous work of S. Fu, the relevance of which we had not realized

Scientific paper

A domain in $\C^n$ with Levi-flat boundary near a given point is
characterized in terms of the boundary behavior of the Kobayashi or Bergman
metrics, or of the Bergman kernel. Some results are given in the case of
intermediate values of the rank of the Levi form.

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