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Full-Text Articles in Physical Sciences and Mathematics
On The Laplacian, Frank A. Farris, James Ward Brown
On The Laplacian, Frank A. Farris, James Ward Brown
Mathematics and Computer Science
In various applied mathematics courses one appearance of the Laplacian operator is in the study of heat distributions.
An Intrinsic Construction Of Fefferman's Cr Metric, Frank A. Farris
An Intrinsic Construction Of Fefferman's Cr Metric, Frank A. Farris
Mathematics and Computer Science
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.