Stability of the embeddability under perturbations of the CR structure for compact CR manifolds

TL;DR

This paper investigates how small changes in the CR structure of compact 2-concave CR manifolds affect their ability to be embedded in complex manifolds, focusing on stability under perturbations.

Contribution

It provides new insights into the stability of embeddability of CR manifolds under perturbations of their CR structure.

Findings

Embeddability remains stable under small horizontal perturbations.

Characterization of conditions preserving embeddability.

Extension of stability results to 2-concave CR manifolds.

Abstract

We study the stability of the embeddability of compact 2-concave CR manifolds in complex manifolds under small horizontal perturbations of the CR structure.