CR Paneitz operator and embeddability

TL;DR

This paper surveys recent progress on how the CR Paneitz operator relates to the global embeddability of closed strictly pseudoconvex CR manifolds, highlighting key theoretical connections.

Contribution

It provides a concise overview of recent developments linking the CR Paneitz operator to embeddability problems in CR geometry.

Findings

Summarizes key results connecting CR Paneitz operator to embeddability.

Highlights recent advances in CR geometry related to the operator.

Identifies open problems and future directions in the field.

Abstract

In this article, we give a brief survey of recent developments on relations between global embeddability of a closed strictly pseudoconvex CR manifold and the CR Paneitz operator.