A characterization of domains in C^n with locally Levi-flat boundaries
classification
🧮 math.CV
keywords
bergmanboundarygivenlevi-flatbehaviorboundariescasecharacterization
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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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