A survey on normal forms of real submanifolds with CR singularity

TL;DR

This paper provides a comprehensive survey of the various normal forms of real submanifolds with CR singularities, highlighting historical and recent developments in the field.

Contribution

It compiles and reviews key results on normal forms of CR singularities, offering a unified overview of the subject's evolution.

Findings

Summarizes foundational works by Bishop and Moser-Webster.

Highlights recent advances in the classification of CR singularities.

Provides a structured overview of normal forms in the context of CR geometry.

Abstract

We survey results dating back from the seminal works of Bishop and Moser-Webster as well as more recent advances.