Cartan Geometry

Geometric framework that generalizes affine connections, unifying Riemannian geometry with Klein's Erlangen program.

Specifications & Metrics

type

Geometry & Torsion

originator

Élie Cartan

Core Principles & Analysis

• A Cartan connection is a flexible generalization of the notion of an affine connection.
• In Riemannian geometry, orthonormal frames can be used to describe the Levi-Civita connection as a Cartan connection.
• Cartan geometry unifies Riemannian geometry with Klein's Erlangen program of homogeneous geometries.

Sources

• Wikipedia: Cartan geometry