The Exponential Convergence of the CR Yamabe Flow
Differential Geometry
2018-07-25 v1
Abstract
In this paper, we study the CR Yamabe flow with zero CR Yamabe invariant. We use the CR Poincar\'e 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.
Keywords
Cite
@article{arxiv.1807.08876,
title = {The Exponential Convergence of the CR Yamabe Flow},
author = {Weimin Sheng and Kunbo Wang},
journal= {arXiv preprint arXiv:1807.08876},
year = {2018}
}
Comments
Accepted for publication in SCIENCE CHINA Mathematics