We construct a conformal class of Lorentz metrics naturally associated with an abstract definite CR structure. If the CR structure is that of a pseudoconvex boundary in Cn we prove that the intrinsically constructed metric is the same as that discovered by Fefferman using a solution to a complex Monge-Ampère equation. The construction presented here relies on formal solutions of a linear equation, dζ = 0, and provides a relatively simple procedure for computing the metric.
An intrinsic construction of Fefferman's CR metricMathematics and Computer Science
PublisherMathematical Sciences Publishers
Citation InformationFARRIS, Frank A. "An Intrinsic Construction of Fefferman's CR Metric."Pacific Journal of Mathematics 123 (1986): 33-45.