Characterization of domains in $\mathbb C^n$ by their noncompact automorphism groups

TL;DR

This paper characterizes domains in complex n-space using their noncompact automorphism groups, providing insights into their geometric and symmetry properties.

Contribution

It offers a new characterization of complex domains based on the properties of their noncompact automorphism groups, advancing understanding in complex analysis.

Findings

Domains are characterized by their noncompact automorphism groups

New criteria for domain classification in complex spaces

Enhanced understanding of automorphism group structures

Abstract

In this paper, the characterization of domains in $\mathbb C^n$ by their noncompact automorphism groups are given.