Cartan Connection

A Cartan connection is a mathematical tool used to understand complex geometric spaces by comparing them to simpler, well-understood models (like flat or curved spaces). It acts like a sophisticated "map" that describes how a space twists and bends, allowing mathematicians to analyze its structure locally and globally. Think of it as an advanced way to "translate" information about the shape and curvature of a geometric object, making it easier to study properties like symmetry and geometric invariants within a unified framework.