Category:Connection (mathematics)

In geometry, the notion of a connection makes precise the idea of transporting data along a curve or family of curves in a parallel and consistent manner. Viewed infinitesimally, a connection is a way of differentiating geometric data in such a manner that the derivative is also geometrically meaningful.

Guide to connections

 * For connections as they are normally first encountered in tensor analysis, see covariant derivative.
 * For connections as they are first encountered in differential geometry, see affine connection, connection (vector bundle), and connection (principal bundle).
 * For connections using differential forms, see connection form, Cartan connection, and Ehresmann connection.
 * For connections as they are frequently used in gauge theory and physics, see gauge covariant derivative and gauge connection.