nLab
pseudo-Riemannian manifold

Context

Differential geometry

differential geometry

synthetic differential geometry

Axiomatics

Models

Concepts

Theorems

Applications

Manifolds and cobordisms

Riemannian geometry

Contents

Idea

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 December 21, 2016 03:52:52 by Urs Schreiber (188.1.230.74)