Harmonic Maps as a Subclass of Isometric Embeddings of the Spacetime in Five Dimensions

Physics

Scientific paper

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Scientific paper

In the light of the Campbell-Magaard embedding theorem we demonstrate
that it is always possible to harmonically and isometrically embed any
n-dimensional space into a (n + 1)-dimensional Ricci-flat space. We work
out an example to illustrate the results.

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