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

Bun Wong; Siqi Fu

arxiv: math/9709201 · v1 · submitted 1997-09-30 · 🧮 math.CV

On a domain in C² with generic piecewise smooth Levi-flat boundary and non-compact automorphism group

Siqi Fu , Bun Wong This is my paper

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keywords automorphismboundarydomaingenericgrouplevi-flatnon-compactpiecewise

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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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On a domain in C² with generic piecewise smooth Levi-flat boundary and non-compact automorphism group

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