On a domain in C^2 with generic piecewise smooth Levi-flat boundary and non-compact automorphism group

Mathematics – Complex Variables

Scientific paper

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Scientific paper

In this paper, we prove that if D is a simply-connected domain in C^2 with
generic piecewise smooth Levi-flat boundary and non-compact automorphism group,
then D is biholomorphic to the bidisc. The proof is based on a careful analysis
of invariant measures.

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