Domains in complex surfaces with non-compact automorphism groups (Q2473839)

Let \(D\) be a domain in a complex surface with a non-compact group of holomorphic automorphisms. A characterization of those domains \(D\) that admits a smooth, weakly pseudoconvex, finite type boundary orbit accumulation point is obtained. It is a generalization of the Wong-Rosay theorem for domains that admits a strongly pseudoconvex orbit accumulation point.