The exponential convergence of the CR Yamabe flow
In this paper, we study the CR (Cauchy-Riemann) 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 the long time solution and the solution converges to a contact form with flat pseudo-Hermitian scalar curvature exponentially.
KeywordsCR geometry CR Yamabe problem CR Yamabe flow CR Yamabe invariant
MSC(2010)32V20 53C44 35K55 53C21
Unable to display preview. Download preview PDF.
This work was supported by National Natural Science Foundation of China (Grant No. 11571304).