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

Siqi Fu, Bun Wong

math.CVarXiv:math/9709201

Abstract

In this paper, we prove that if D is a simply-connected domain in C2 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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