On the automorphism groups of models in ${\mathbb{C}}^2$

Abstract

In this note, we consider models in ${\mathbb{C}}^2$. The purpose of this note is twofold. We first show a characterization of models in ${\mathbb{C}}^2$ by their noncompact automorphism groups. Then we give an explicit description for automorphism groups of models in ${\mathbb{C}}^2$.

14 pages