English

On CR manifolds of CR dimension 1

Differential Geometry 2026-04-06 v2 Complex Variables

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.

Keywords

Cite

@article{arxiv.2603.21441,
  title  = {On CR manifolds of CR dimension 1},
  author = {Boris Kruglikov},
  journal= {arXiv preprint arXiv:2603.21441},
  year   = {2026}
}

Comments

This version is updated with several important references, not noticed upon the first submission. References and relations are added. We also supply one more example to the last section