nLab
Riemannian manifold

Context

Differential geometry

differential geometry

synthetic differential geometry

Axiomatics

Models

Concepts

Theorems

Applications

Manifolds and cobordisms

Riemannian geometry

Contents

Definition

A Riemannian manifold is a smooth manifold equipped with a Riemannian metric.

See also pseudo-Riemannian manifold

Revised on November 12, 2013 10:42:30 by David Corfield (87.114.15.30)