nLab Euclidean geometry

Theorems

Differential geometry

differential geometry

synthetic differential geometry

Contents

Idea

Euclidean geometry studies the geometry of Euclidean spaces. These spaces come equipped with a canonical Riemannian metric, and Euclidean geometry can be regarded as the local model for Riemannian geometry, in some sense.

Properties

local modelglobal geometry
Euclidean geometryRiemannian geometry
Klein geometryCartan geometry

Revised on September 1, 2011 09:59:56 by Urs Schreiber (89.204.153.122)