An intrinsic construction of Fefferman's CR metric (Q1080001)

Let M be a strictly pseudoconvex CR manifold, K be the line bundle of the \((n+1,0)\)-forms on M and let \(C=K/R^+\). Assuming K has a closed section, the author constructs intrinsically a conformal class of Lorentz metrics on the circle bundle C. In the case when the CR structure is that of a hypersurface in \({\mathbb{C}}^{n+1}\), this construction gives the Feffermann's metric.