Almost CR manifolds with contracting CR automorphism

TL;DR

This paper studies strongly pseudoconvex almost CR manifolds with a CR contraction, proving that their stable manifolds are CR equivalent to the Heisenberg group model, thus advancing understanding of their geometric structure.

Contribution

It establishes the CR equivalence of stable manifolds to the Heisenberg group model in the context of almost CR manifolds with contractions, a novel result in CR geometry.

Findings

Stable manifold is CR equivalent to the Heisenberg group model

Provides a classification result for almost CR manifolds with contractions

Enhances understanding of the geometric structure of CR automorphisms

Abstract

In this paper, we deal with a strongly pseudoconvex almost CR manifold with a CR contraction. We will prove that the stable manifold of the CR contaction is CR equivalent to the Heisenberg group model.