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Article
An intrinsic construction of Fefferman's CR metric
Mathematics and Computer Science
  • Frank A. Farris, Santa Clara University
Document Type
Article
Publication Date
3-1-1986
Publisher
Mathematical Sciences Publishers
Disciplines
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
Citation Information
FARRIS, Frank A. "An Intrinsic Construction of Fefferman's CR Metric."Pacific Journal of Mathematics 123 (1986): 33-45.