# nLab pseudo-Riemannian manifold

### Context

#### Differential geometry

differential geometry

synthetic differential geometry

## Applications

#### Manifolds and cobordisms

manifolds and cobordisms

## Theorem

#### Riemannian geometry

Riemannian geometry

## Applications

Like a Riemannian manifold is a smooth manifold equipped with a Riemannian metric, a pseudo-Riemannian manifold is a manifold equipped with a pseudo-Riemannian metric. Lorentzian manifolds, as well as Riemannian manifolds themselves, are special cases of pseudo-Riemannian manifolds.

Revised on August 23, 2015 02:43:41 by Toby Bartels (98.16.168.238)