The Exponential Convergence of the CR Yamabe Flow
arXiv:1807.08876
Abstract
In this paper, we study the CR Yamabe flow with zero CR Yamabe invariant. We use the CR Poincaré inequality and a Gagliardo-Nirenberg type interpolation inequality to show that this flow has long time solution and the solution converges to a contact form with flat pseudo-Hermitian scalar curvature exponentially.
Accepted for publication in SCIENCE CHINA Mathematics