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Pseudo-Euclidean Space

A Euclidean-like space having line element

ds^2=(dz^1)^2+...+(dz^p)^2-(dz^(p+1))^2-...-(dz^(p+q))^2,

having dimension m=p+q (Rosen 1965). In contrast, the signs would be all be positive for a Euclidean space.

See also

Campbell's Theorem, Euclidean Space

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References

Rosen, J. "Embedding of Various Relativistic Spaces in Pseudo-Euclidean Spaces." Rev. Mod. Phys. 37, 204-214, 1965.

Referenced on Wolfram|Alpha

Pseudo-Euclidean Space

Cite this as:

Weisstein, Eric W. "Pseudo-Euclidean Space." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Pseudo-EuclideanSpace.html

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