Abstract
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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Chervon, S., Romero, C. Harmonic Maps as a Subclass of Isometric Embeddings of the Spacetime in Five Dimensions. General Relativity and Gravitation 36, 1555–1561 (2004). https://doi.org/10.1023/B:GERG.0000032148.27190.c1
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DOI: https://doi.org/10.1023/B:GERG.0000032148.27190.c1