A generalization of the Greene-Krantz theorem for the semicontinuity property of automorphism groups

TL;DR

This paper extends the Greene-Krantz theorem to CR structures, providing a more general and intrinsic understanding of the semicontinuity of complex automorphism groups.

Contribution

It offers a CR version of the Greene-Krantz theorem, generalizing and giving an intrinsic interpretation of the original result.

Findings

CR version of Greene-Krantz theorem established

Provides intrinsic interpretation of automorphism group semicontinuity

Generalizes previous complex automorphism results

Abstract

A CR version of the Greene-Krantz theorem \cite{GK} for the semicontinuity of complex automorphism groups will be provided. This is not only a generalization but also an intrinsic interpretation of the Greene-Krantz theorem.