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arXiv · 1807.08876

The Exponential Convergence of the CR Yamabe Flow

Weimin Sheng·Kunbo Wang
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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.

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Weimin Sheng, Kunbo Wang. 2018-07-24. The Exponential Convergence of the CR Yamabe Flow. https://arxiv.org/abs/1807.08876

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