# Category:Connection (mathematics)

Computing portal |

Here is a list of articles in the Connection (mathematics) category of the Computing portal that unifies foundations of mathematics and computations using computers.
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.

## Pages in category "Connection (mathematics)"

The following 36 pages are in this category, out of 36 total.

- Connection (mathematics)
*(computing)*

### A

- Affine connection
*(computing)*

### C

- Cartan connection
*(computing)* - Cartan formalism
*(physics)* - Christoffel symbols
*(computing)* - Conformal connection
*(computing)* - Connection (affine bundle)
*(computing)* - Connection (algebraic framework)
*(computing)* - Connection (composite bundle)
*(computing)* - Connection (fibred manifold)
*(computing)* - Connection (principal bundle)
*(computing)* - Connection (vector bundle)
*(computing)* - Connection form
*(computing)* - Connector (mathematics)
*(computing)* - Contorsion tensor
*(computing)* - Covariant derivative
*(computing)*

### D

- Development (differential geometry)
*(computing)*

### E

- Ehresmann connection
*(computing)* - Exterior covariant derivative
*(computing)*

### F

- Fundamental theorem of Riemannian geometry
*(computing)*

### G

- Gauge covariant derivative
*(computing)* - Gauss–Manin connection
*(computing)* - Grothendieck connection
*(computing)*

### H

- Holonomy
*(computing)*

### L

- Levi-Civita connection
*(computing)* - Linear connection
*(computing)*

### M

- Metric connection
*(computing)* - Moving frame
*(computing)*

### P

- P-curvature
*(computing)* - Parallel transport
*(computing)* - Projective connection
*(computing)*

### S

- Schild's ladder
*(computing)* - Spin connection
*(computing)*

### T

- Torsion tensor
*(computing)*

### V

- Vertical and horizontal bundles
*(computing)*

### W

- Wormhole
*(physics)*