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

摘要

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