On CR manifolds of CR dimension 1

TL;DR

This paper classifies all maximal symmetry models of CR dimension 1 based on their Bloom-Graham and Tanaka types, provides coordinate realizations for some models, and establishes a general extension principle.

Contribution

It offers a comprehensive classification of CR dimension 1 models, including explicit coordinate realizations and a new extension principle.

Findings

Classification of all maximal symmetry models of CR dimension 1

Coordinate realizations for selected models

A general extension principle for CR manifolds

Abstract

We classify all maximal symmetry models of CR dimension 1, depending on their Bloom-Graham and Tanaka types, give coordinate realization to some of those models and prove a general extension principle.