Document Type

Article

Publication Date

3-1986

Publisher

Mathematical Sciences Publishers

Abstract

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.

Comments

Reprinted with permission by Mathematical Sciences Publishers. http://doi.org/10.2140/pjm.1986.123.33

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