The exponential convergence of the CR Yamabe flow

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2020,（5）
• 页码范围: 979-992
• 页数: 14页
• 语种: 英文

摘要

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 fiat pseudo-Hermitian scalar curvature exponentially.