Category:Connection (mathematics)
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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)