A pseudo-Riemannian manifold is a manifold which has a metric that is of the signature , as compared to a Riemannian manifold, which has a signature of all positive signs.

# Pseudo-Riemannian Manifold

## See also

Campbell's Theorem, Minkowski Metric, Minkowski Space, Riemannian Manifold## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Pseudo-Riemannian Manifold."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/Pseudo-RiemannianManifold.html