Asymptotic characterizations of strong pseudoconvexity on pseudoconvex domains of finite type in ${\mathbb{C}}^2$

Abstract

In this paper, we provide some characterizations of strong pseudoconvexity by the boundary behavior of intrinsic invariants for smoothly bounded pseudoconvex domains of finite type in ${\mathbb{C}}^2$. As a consequence, if such domain is biholomorphically equivalent to a quotient of the unit ball, then it is strongly pseudoconvex.