Definition:Pseudo-Riemannian Manifold

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A pseudo-Riemannian manifold is a smooth manifold on the real space $\R^{r+s}$ upon which a pseudo-Riemannian metric has been imposed.


The dimension of the pseudo-Riemannian manifold on $\R^{r + s}$ is $r + s$.

Also see

  • Results about pseudo-Riemannian manifolds can be found here.

Source of Name

This entry was named for Bernhard Riemann.