Let $(M^{2n+1},T^{1,0}M,\theta)$ be a compact strictly pseudoconvex CR manifold with $n\ge 2$. Then there exists a contact form $\hat\theta\in[\theta]_{\mathrm{CR}}$ whose Webster scalar curvature is constant.
Knowledge Status
Analysis
Discussion
This result formalizes let be a compact strictly pseudoconvex CR manifold with . It supports the chapter's treatment of CR geometry, [boundary regularity](/theorems/99), and holomorphic extension in several complex variables.