Connection (composite bundle)

In the context of differential geometry and mathematical physics, a **connection** (often referred to as a **connection on a bundle**) is a way to "connect" points in a fiber bundle, allowing for a definition of parallel transport, differentiation of sections of the bundle, and the curvature associated with the connection. ### Composite Bundle A **composite bundle** is a specific structure in the theory of fiber bundles that combines two or more fiber bundles in a certain way.