The Scaling Method, II

Abstract

In the preceding chapter, we discussed theorems concerning the characterization of bounded domains in $\mathbb{C}{^n}$ by their boundary geometry and the noncompactness of their automorphism groups. There, the scaling method served as a medium that produces the “best” holomorphic re-embedding of the domain into $\mathbb{C}{^n}$. Thus the scaling method replaced the role of the study of asymptotic boundary behavior of holomorphic invariants.