Topic summary
Lorentzian manifold

Extracted from the Wikipedia article Pseudo-Riemannian manifold.
Lorentzian manifold
A Lorentzian manifold is an important special case of a pseudo-Riemannian manifold in which the signature of the metric is (1, n−1) (equivalently, (n−1, 1); see Sign convention). Such metrics are called Lorentzian metrics. They are named after the Dutch physicist Hendrik Lorentz.