Convergence of the CR Yamabe Flow

TL;DR

This paper proves the convergence of the CR Yamabe flow on certain compact CR manifolds, specifically when the dimension is 3 or the manifold is spherical, advancing understanding of geometric flows in CR geometry.

Contribution

The paper establishes convergence results for the CR Yamabe flow in new cases, specifically for dimension 3 and spherical manifolds, extending previous work in CR geometry.

Findings

Convergence of the CR Yamabe flow for n=1.

Convergence on spherical CR manifolds.

Advancement in understanding CR geometric flows.

Abstract

We consider the CR Yamabe flow on a compact strictly pseudoconvex CR manifold $M$ of real dimension $2n+1$. We prove convergence of the CR Yamabe flow when $n=1$ or $M$ is spherical.