On the stability of equivariant embedding of compact CR manifolds with circle action

TL;DR

This paper proves that the equivariant embedding of certain compact CR manifolds with circle symmetry remains stable under small, symmetry-preserving changes to their CR structures.

Contribution

It establishes the stability of equivariant embeddings for compact strictly pseudoconvex CR manifolds with circle actions under invariant perturbations.

Findings

Stability of equivariant embeddings proven

Applicable to compact strictly pseudoconvex CR manifolds

Under circle-invariant CR structure perturbations

Abstract

We prove the stability of the equivariant embedding of compact strictly pseudoconvex CR manifolds with transversal CR circle action under circle invariant perturbations of the CR structures.